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Teacher Learning Hub

PO Box 202501
Helena, MT 59601 United States
http://learninghub.mrooms.net

OPI Teacher Learning Hub logo

June 2015

Free

Health Sciences MCCS Integration

June 15, 2015 @ 12:00 am
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This course is designed for Secondary Science or health enhancement teachers that have a collegiate background in anatomy and physiology.  Participants will complete a job shadowing experience in a local medical facility to gain an understanding of the health care system.  After completion, teachers can apply for a Class 4A Endorsement in Health Science from the OPI. This online course runs from June 15 – June 26.  

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October 2015

Free

Mathematical Practices (K-8) – ONLINE

October 26, 2015
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 4-week online module, running from October 26 – November 20, provides teachers with strategies for embedding the Mathematical Practices into everyday instruction and for incorporating modeling and other STEM-focused activities into lessons and activities.  Specific goals and activities include the following: Recognize the eight Mathematical Practices and how to incorporate them into lessons and activities Analyze videos of exemplary teaching and identify the Mathematical Practices in use Revise existing lessons to engage students in specific Practice To register for…

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Free

Measurement (K-3) – ONLINE

October 26, 2015
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Measurement (K-3) – STREAM This 3-week module primarily focuses on measurement, the K-3 learning progressions related to measurement, and foundational ideas that promote deeper understanding of measurement concepts. Specific goals and activities include the following: Develop enduring understandings of measurement attributes, processes, and tools. Explore relationships among units, attributes, and measures within a system of measurement. Engage in authentic problem-solving using tools that can be applied in the classroom. To register for this course, go to the Montana Digital Professional…

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November 2015

Free

Mathematical Practices & Modeling (HS) – ONLINE

November 9, 2015
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

During this 4-week module, running from November 9-December 11, you will acquire strategies for (1) embedding the Mathematical Practices into everyday instruction and (2) incorporating mathematical modeling into lessons and activities. Specific goals and activities include the following: Recognize how learners engage in the eight Mathematical Practices and how to incorporate them into lessons and activities. Analyze video cases of exemplary teaching to identify Mathematical Practices in action. Complete dynamic mathematical tasks and compare/contrast these tasks with those presented in…

Find out more »
Free

Number Systems and Operations (K-3) – ONLINE

November 16, 2015
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 3-week module, running from November 16 – December 4, is designed for grades K-3 teachers. Participants in this module will examine learning progressions in Number and Operations with a focus on active engagement strategies that promote understanding of number sense. Specific goals include: Recognize the differences and different uses of strategies vs. algorithms Examine learning progressions related to Number and Operations Incorporate models for active learning Develop precise mathematics vocabulary To register for this course, go to the Montana…

Find out more »
Free

Number Systems and Operations (4-7) – ONLINE

November 30, 2015
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 3-week module, running from November 30 – December 18, is designed for grades 4-7 teachers. Participants in this module will examine learning progressions in Number Systems and Operations, with a focus on active engagement strategies that promote understanding of number sense. Specific goals include: Examine learning progressions related to Number Systems and Operations (4-7) Align tasks to the Number and Operations content standards Read professional articles Create a learning plan To register for this course, go to the Teacher…

Find out more »

January 2016

Free

Geometry: Transformations (HS) – ONLINE

January 11, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

The introduction of the Common Core standards inspired a change in the mindset of “basing transformations on congruence” to the more intuitive approach of “basing congruence on transformations.” In modern geometry, the traditional arguments justifying congruence and similarity are more effectively supported by rigid transformations and dilations. In this 3-week module,  running from January 11, 2016 – January 29, 2016, we examine how transformations are applied to justify congruence and similarity. Specific goals and activities include the following: Examining and…

Find out more »
Free

Mathematical Practices (K-8) – ONLINE

January 18, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 4-week module, running from January 18 – February 12, provides teachers with strategies for embedding the Mathematical Practices into everyday instruction and for incorporating modeling and other STEM-focused activities into lessons and activities. Specific goals and activities include the following: Recognize the eight Mathematical Practices and how to incorporate them into lessons and activities. Analyze videos of exemplary teaching and identify the Mathematical Practices in use. Revise existing lessons to engage students in specific Mathematical Practices. To register for…

Find out more »
Free

All About Fractions (3-5) – ONLINE

January 18, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 3-week module, running from January 18 – February 5, examines learning progressions related to fractions with a focus on foundational ideas that promote fraction sense and understanding. Specific goals and activities include the following: Examine ways to develop “fraction sense.” Discover how learning progressions for K-2 geometry support the development of fraction knowledge in grades 3-5. Explore fraction equivalence and comparing and ordering fractions using a variety of models and manipulatives. To register for this course, go to the…

Find out more »
Free

Ratio and Proportion (6-7) – ONLINE

January 18, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 3-week module, running from January 18 – February 5, explores how a solid understanding of fraction concepts lays the foundation for students to successfully work with ratios and proportions. Specific goals and activities include the following: Recognize how learning progressions for fractions prepare students to successfully work with ratios and proportions. Solve fraction, ratio, and proportion problems in multiple ways. Develop an awareness of student misconceptions related to fraction/ratio/proportions and examine teacher strategies to resolve these misconceptions. To register…

Find out more »
Free

It’s All Right: Pythagoras (7-9) – ONLINE

January 18, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 3-week module, running from January 18 – February 5, uncovers the mysteries of Pythagoras and the famous theorem named for him. We will investigate how the Pythagorean Theorem provides a vital foundation in 8th grade that progresses into high school geometry. After briefly exploring the history of Pythagoras and his discoveries, we will examine different proofs of the theorem and its converse and discover how right triangles help us understand irrational numbers and distance. Specific goals and activities include…

Find out more »

ONLINE – Orientation to Special Education for Montana Paraprofessionals and Educators

January 20, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This course, running from January 20, 2016 through February 19, 2016, is designed to provide a basic introduction to special education and the needs of students who have disabilities. The content consists of introductory material regarding legal and historical foundations of special education, human growth and development, the nature of disabilities, and an introduction to the basic human needs that para-educators and educators must address. HOW TO REGISTER Go to opi.mt.gov/learninghub Create an account or log in Select ‘Facilitated Modules’…

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$100

ONLINE – Paraprofessional Achieving Standards Successfully

January 25, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This MEA-MFT PASS Math course, running from January 25 – April 10 on the Teacher Learning Hub, has been developed by and for Montana paraprofessionals and provides participants with important skills in classroom management as well as proven strategies in math instruction, taught in a dynamic and fun setting.  A nationally-developed assessment is built directly into the course, assuring that paraprofessionals who take the course can demonstrate evidence of content mastery to their local districts and the state of Montana.  …

Find out more »

February 2016

ONLINE – Algebraic Thinking (K-5)

February 1, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 3-week course, running from February 1 – February 19, will examine learning progressions that illuminate early stages of algebraic thinking and develop the foundation for later success in algebra. Specific goals and activities include the following: Explore how addition, subtraction, multiplication, and division operate under the same properties in algebra as they do in arithmetic. Recognize variables as tools that are used to describe mathematical ideas in a variety of ways. Develop strategies for describing relationships among quantities to…

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ONLINE – Teaching & Assessing English Learners Course

February 2, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 7-week course hosted on the Teacher Learning Hub will teach participants the following: utilizing the English Language Development Standards and Can-Do Descriptors to effectively plan content-area lessons focused on the development of academic English; and demonstrating familiarity with the WIDA assessment tools adopted for use by Montana in order to diagnose academic language and literay skills and plan for effective instruction. Contact Natalee Hawks with any questions at 444-3482.

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Free

ONLINE – Algebraic Thinking (6-7) – ONLINE

February 15, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 3-week course, running from February 15 – March 4, is designed to draw out high-level algebraic thinking from middle grade students.The focus is on using the 6th and 7th grade standards for expressions and equations as a vehicle to examine teacher practice and improve students’ algebraic thinking.  Specific goals and activities include the following: Define algebraic thinking and reasoning through the “Habits of Mind” framework. Evaluate the way teachers talk to and question students about expressions, equations, and inequalities.…

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Free

ONLINE – Straight Talk: Linearity (7-9)

February 15, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

In this 3-week module, running from February 15 – March 4, we will examine how the concept of proportionality is related to the study of linear equations. We will explore Montana’s Common Core Standards for Probability and Statistics in the 8th grade, focusing on the study of bivariate data. Finally, we will extend our investigation to a study of functions using time versus distance as a context. Specific goals and activities include the following: Examine student work and create activities…

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Free

ONLINE – Orientation to Special Education

February 15, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This four-week course on the Teacher Learning Hub provides you with an overview of topics that are essential to the success of a teacher, paraprofessional or aide in special education. •Facilitated (February 15th – March 11th) •Registration closes Feb 15th or when the class is full •Click on the course name to enroll •15 renewal units

Find out more »
Free

ONLINE – Statistics: Inferences (HS)

February 29, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Statistics and Probability do not appear as stand-alone topics in Montana’s Common Core State Standards. These concepts are dispersed throughout all high school mathematics courses with an emphasis on informed decision making. The power of statistics and probability to understand the world we live in is some of the most applicable knowledge students can acquire in our classrooms.  This 3-week module will run from February 29 – March 18 and specific goals and activities include: Understand how key concepts in…

Find out more »

March 2016

Free

ONLINE – Geometric Thinking (K-3)

March 14, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 3-week module investigates conceptually related and interdependent ideas about geometric shapes, geometric structure, and spatial relationships. Geometry is a particularly relevant area of mathematics for young children, who are naturally curious about their physical world. Specific goals and activities including the following: Examine properties [attributes] and categorization of two-dimensional shapes Explore composition and decomposition of geometric shapes Develop deeper understanding of spatial relations and spatial structuring. To register for this course, go to the Teacher Learning Hub. Registration will…

Find out more »

ONLINE – Geometric Thinking, Grades K-3

March 14, 2016 @ 8:00 am - 5:00 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 3-week module (March 14 – April 1) investigates conceptually related and interdependent ideas about geometric shapes, geometric structure, and spatial relationships. Geometry is a particularly relevant area of mathematics for young children, who are naturally curious about their physical world. Specific goals and activities including the following: Examine properties [attributes] and categorization of two-dimensional shapes Explore composition and decomposition of geometric shapes Develop deeper understanding of spatial relations and spatial structuring. To register for this course, go to the Teacher…

Find out more »

ONLINE – Geometric Thinking, Grades 4-7

March 14, 2016 @ 8:00 am - 5:00 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 3-week module (March 14 – April 1) examines learning progressions in geometry with a focus on foundational ideas that promote geometric understanding.  Specific goals and activities include the following: Recognize geometric shapes and their components (e.g., sides, angles, faces) Learn properties of geometric figures and categorization based on those properties Develop strategies for composing and decomposing geometric shapes Engage in spatial relations and spatial structuring To register for this course, go to the Teacher Learning Hub. Registration will open on…

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ONLINE – Movin’ Around Transformations (Grades 7-9)

March 14, 2016 @ 8:00 am - 5:00 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 3-week module (March 14 – April 1) is based on Montana’s Common Core Standards for 8th grade geometry with a focus on transformations (translations, rotations, reflections, and dilations). We will examine students’ perceptions about transformations, explore and justify relationships between figures, and discover geometric connections to similarity, proportion, and slope. Specific goals and activities include the following: Identify and analyze common misconceptions in students’ understanding of transformations. Investigate model lessons dealing with important concepts related to rigid transformations and congruence…

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Free

ONLINE – Autism Academy

March 20, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This module on the Teacher Learning Hub, running from March 20 – April 26, provides teachers, paraprofessionals and aides with information and skills to be able to assist in the instruction of students with autism. Facilitated by an instructor 15 renewal units Click course name to enroll

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April 2016

Free

ONLINE – Orientation to Special Education

April 3, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This module on the Teacher Learning Hub runs for four weeks and is intended to provide you with an overview of topics that are essential to the success of a teacher, paraprofessional or aide in special education. •Facilitated (April 3 – May 7) •Registration closes April 6th or when the class is full •Click on the course name to enroll •15 renewal units

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FREE

ONLINE – Functions as Objects (HS)

April 4, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

It’s time to fight back against the “function machine”!  In this 3-week module running from April 4 – 22, we examine functions as objects in their own right, rather than treating them as rules, algorithms, or machines.  Explore Montana’s Common Core Standards for functions in high school with a focus on building functions.  Extend and complete the investigation with a modeling activity.  Specific goals and activities include the following: Redefine it! Develop a fresh understanding of functions as objects that…

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FREE

ONLINE – STEM-Centric Mathematics (K-8)

April 11, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This four week course, running from April 11 – May 6, will examine the learning processes in Mathematics, Science and Engineering with a focus on foundational ideas that promote mathematical understanding. Specific goals and activities include the following: Develop an understanding of key attributes for an effective STEM learning environment Analyze and experience STEM-centric lesson components Examine and consider STEM resources Design STEM lessons aligned to the MCCSM Register by April 15, 2016 on the Teacher Learning Hub.  

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FREE

ONLINE – Number Systems & Operations (K-3)

April 11, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 3-week modules from April 11 – April 29 examines learning progressions in Number and Operations with a focus on active engagement strategies that promote understanding of number sense. Specific goals include: Recognize the differences and different uses of strategies v. algorithms Examine learning progressions related to Number and Operations Incorporate models for active learning Develop precise mathematics vocabulary Register by April 15, 2016 on the Teacher Learning Hub.

Find out more »
FREE

ONLINE – Number Systems & Operations (4-7)

April 11, 2016 @ 8:00 am - 5:00 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 3-week module running from April 11 – 29 will examine learning progressions in Number Systems and Operations, with a focus on active engagement strategies that promote understanding of number sense. Specific goals include: Examine learning progressions related to Number Systems and Operations (4-7) Align tasks to the Number and Operations content standards Read professional articles Create a learning plan Register for this course by April 15, 2016 on the Teacher Learning Hub.

Find out more »

June 2016

Free

ONLINE – Orientation to Special Education

June 12, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This module on the Teacher Learning Hub will run for four weeks and is intended to provide you with an overview of topics that are essential to the success of a teacher, paraprofessional or aide in special education. •Facilitated (June 12 – July 9) •Registration closes June 15th or when the class is full •Click on the course name to enroll •15 renewal units

Find out more »
Free

ONLINE – It’s All Right: Pythagoras (7-9)

June 13, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 3-week module, running from June 13 – July 1, uncovers the mysteries of Pythagoras and the famous theorem named for him. We will investigate how the Pythagorean Theorem provides a vital foundation in 8th grade that progresses into high school geometry. After briefly exploring the history of Pythagoras and his discoveries, we will examine different proofs of the theorem and its converse and discover how right triangles help us understand irrational numbers and distance. Specific goals and activities include…

Find out more »
Free

ONLINE – Geometric Thinking (K-3)

June 13, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 3-week module, running from June 13 – July 1, investigates conceptually related and interdependent ideas about geometric shapes, geometric structure, and spatial relationships. Geometry is a particularly relevant area of mathematics for young children, who are naturally curious about their physical world. Specific goals and activities including the following: Examine properties [attributes] and categorization of two-dimensional shapes Explore composition and decomposition of geometric shapes Develop deeper understanding of spatial relations and spatial structuring. To register for this course, go…

Find out more »
Free

ONLINE – Geometric Thinking (4-7)

June 13, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 3-week, running from June 13th – July 1, module examines learning progressions in geometry with a focus on foundational ideas that promote geometric understanding.  Specific goals and activities include the following: Recognize geometric shapes and their components (e.g., sides, angles, faces) Learn properties of geometric figures and categorization based on those properties Develop strategies for composing and decomposing geometric shapes Engage in spatial relations and spatial structuring To register for this course, go to the Teacher Learning Hub. Registration will…

Find out more »
Free

ONLINE – Geometry: Transformations (HS)

June 13, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

The introduction of the Common Core standards inspired a change in the mindset of “basing transformations on congruence” to the more intuitive approach of “basing congruence on transformations.” In modern geometry, the traditional arguments justifying congruence and similarity are more effectively supported by rigid transformations and dilations. In this 3-week module, running from June 13 – July 1, we examine how transformations are applied to justify congruence and similarity. Specific goals and activities include the following: Examining and connecting properties…

Find out more »

July 2016

Free

ONLINE – Mathematical Practices (K-8)

July 11, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 4-week module provides teachers with strategies for embedding the Mathematical Practices into everyday instruction and for incorporating modeling and other STEM-focused activities into lessons and activities. Specific goals and activities include the following: Recognize the eight Mathematical Practices and how to incorporate them into lessons and activities. Analyze videos of exemplary teaching and identify the Mathematical Practices in use. Revise existing lessons to engage students in specific Mathematical Practices. To register for this course, go to the Teacher Learning Hub.…

Find out more »
Free

ONLINE – All About Fractions (3-5)

July 11, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 3-week module, running from July 11 – July 29, examines learning progressions related to fractions with a focus on foundational ideas that promote fraction sense and understanding. Specific goals and activities include the following: Examine ways to develop “fraction sense.” Discover how learning progressions for K-2 geometry support the development of fraction knowledge in grades 3-5. Explore fraction equivalence and comparing and ordering fractions using a variety of models and manipulatives. To register for this course, go to the Teacher…

Find out more »
Free

ONLINE – Ratio & Proportion (6-7)

July 11, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 3-Week module, running from July 11 – 29, explores how a solid understanding of fraction concepts lays the foundation for students to successfully work with ratios and proportions. Specific goals and activities include the following: Recognize how learning progressions for fractions prepare students to successfully work with ratios and proportions. Solve fraction, ratio, and proportion problems in multiple ways. Develop an awareness of student misconceptions related to fraction/ratio/proportions and examine teacher strategies to resolve these misconceptions. To register for this…

Find out more »
Free

ONLINE – Statistics: Inferences (HS)

July 11, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Statistics and Probability do not appear as stand-alone topics in Montana’s Common Core State Standards. These concepts are dispersed throughout all high school mathematics courses with an emphasis on informed decision making. The power of statistics and probability to understand the world we live in is some of the most applicable knowledge students can acquire in our classrooms.  Specific goals and activities include for this 3-week module (running from July 11 – 29) include: Understand how key concepts in statistics…

Find out more »

September 2016

Free

ONLINE – Autism Academy

September 12, 2016 @ 8:00 am - 5:00 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

The purpose of this Autism Academy is to provide paraprofessionals with information and skills to be able to assist in the instruction of students with autism. This online course runs from September 12, 2016 to October 17, 2016.

Find out more »
Free

ONLINE – Orientation to Special Education

September 12, 2016 @ 8:00 am - 5:00 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This module, running from September 12 through October 8,  is designed to provide a basic introduction to special education and the needs of students who have disabilities. The content consists of introductory material regarding legal and historical foundations of special education, human growth and development, the nature of disabilities, and an introduction to the basic human needs that para-educators must address.

Find out more »

October 2016

$100 – $150

ONLINE – Paraprofessionals Achieving Standards Successfully

October 3, 2016 @ 8:00 am - 5:00 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This MEA-MFT PASS course, running from October 3rd – December 19th, has been developed by and for Montana paraprofessionals and provides participants with important skills in classroom management as well as proven strategies in reading, writing, and math instruction, taught in a dynamic and fun setting. A nationally developed assessment is built directly into the course, assuring that paraprofessionals who take the course can demonstrate evidence of content mastery to their local districts and the state of Montana. Course materials…

Find out more »
FREE

ONLINE – STREAM Number Systems and Operations (4-7)

October 31, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 3-week module, running from 10-31 through 11-18) is designed for grades 4-7 teachers. Participants in this module will examine learning progressions in Number Systems and Operations, with a focus on active engagement strategies that promote understanding of number sense. Specific goals include: Examine learning progressions related to Number Systems and Operations (4-7) Align tasks to the Number and Operations content standards Read professional articles Create a learning plan This Hub course is worth 15 OPI renewal units.

Find out more »
FREE

ONLINE – STREAM Number Systems and Operations (K-3)

October 31, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This 3-week module, running from 10-31 through 11-18, is designed for grades K-3 teachers. Participants in this module will examine learning progressions in Number and Operations with a focus on active engagement strategies that promote understanding of number sense. Specific goals include: Recognize the differences and different uses of strategies vs. algorithms Examine learning progressions related to Number and Operations Incorporate models for active learning Develop precise mathematics vocabulary This Hub course is worth 15 OPI renewal units.

Find out more »
FREE

ONLINE – STREAM Mathematical Practices (K-8)

October 31, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

During this module, running from 10/31 – 11/18, you will acquire strategies for embedding the Mathematical Practices into everyday instruction and for incorporating modeling and other STEM-focused activities into lessons and activities. Specific goals and activities include the following: Recognize the eight Mathematical Practices and how to incorporate them into lessons and activities. Analyze videos of exemplary teaching and identify Mathematical Practices in use. Revise existing lessons to engage students in specific Mathematical Practices. This Hub course is worth 15…

Find out more »
FREE

ONLINE – STREAM Mathematical Practices and Modeling (High School)

October 31, 2016
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

During this module, running from 10/31 – 11/18, you will acquire strategies for (1) embedding the Mathematical Practices into everyday instruction and (2) incorporating mathematical modeling into lessons and activities. Specific goals and activities include the following: Recognize how learners engage in the eight Mathematical Practices and how to incorporate them into lessons and activities. Analyze video cases of exemplary teaching to identify Mathematical Practices in action. Complete dynamic mathematical tasks and compare/contrast these tasks with those presented in your…

Find out more »

January 2017

Free

Autism Academy

January 23, 2017 @ 8:00 am - February 28, 2017 @ 5:00 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

For Montana Para-educators The purpose of this Autism Academy is to provide teachers, paraprofessionals and teaching assistants with information and skills to be able to assist in the instruction of students with autism.  This is a six-week facilitated course on the Teacher Learning Hub.  20 OPI renewal units are available.  Registration ends January 23, 2017 or when the course is full.

Find out more »
Free

Orientation to Special Education

January 23, 2017 @ 8:00 am - February 27, 2017 @ 5:00 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This module is designed to provide a basic introduction to special education and the needs of students who have disabilities. The content consists of introductory material regarding legal and historical foundations of special education, human growth and development, the nature of disabilities, and an introduction to the basic human needs that para-educators must address.

Find out more »
Free

Instructional Strategies

January 23, 2017 @ 8:00 am - March 7, 2017 @ 5:00 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This module gives the para-educator knowledge and skills specific to the use of instructional strategies and methods. The module bases teaching upon the belief that para-educators must be constantly involved in the dynamic process of analyzing the teaching environment and individual student needs for the particular level of support, degree of adaptation/accommodation or modification, and instructional method that would best facilitate learning. The module is designed to provide these skills for use by para-educators supporting students in inclusive classrooms, resource…

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February 2017

Free

Instructional Teamwork

February 5, 2017 @ 8:00 am - March 13, 2017 @ 5:00 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

For Montana Para-educators and Partner Teachers This academy is designed to help para-educators work effectively on a team. This course is recommended for teachers as well. Teachers and/or para-educators may take this course without the other team member, but it is most effective when teams take the course together. The academy consists of four modules of varying length. The content of these modules consists of introductory material regarding teamwork, delineation of roles and responsibilities, classroom instruction, and behavior management.

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July 2017

Free

Understanding Healthcare: Introduction to Teaching Health Science (July 10 – August 18, 2017)

July 10, 2017 @ 8:00 am - 5:00 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

In some states, health science is taught by a licensed health care professional, and that is still an option in Montana, but there is no specific teacher preparation program for the field of health science. This is not the best solution for most schools since our school budgets are small and hiring additional staff is not possible. Our science and health enhancement teachers are well-suited for this discipline with the addition of a little background about the health care industry…

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September 2017

Trending Teacher Topics – Online PLC (Digital Literacy)

September 11, 2017 @ 3:45 pm - 4:45 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Teachers all across MT are working through everyday teaching issues like homework, grading, behavior management, planning, grouping, student engagement, etc. etc. etc. Now you don’t have to do it alone. Join us for our monthly online meetings to share ideas, discuss ways to overcome obstacles, and discover new resources to improve your class. New topics each month! Unable to join the live meeting? Don’t worry, we’ll post a recording for you. This PLC meets the 2nd Monday of each month…

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Montana Writing Teacher PLC

September 13, 2017 @ 3:45 pm - 4:30 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Bridgett Paddock hosts the Writing Teacher PLC on Wednesday, September 13, 2017 at 3:45 pm. Join us for a live discussion “Mindsets” with Dr. Tammy Elser. Join the live meeting online and open the google document for this month’s meeting and be ready to write, or enroll in the the Montana Writing Teachers course on the Teacher Learning Hub to watch the recording and earn renewal units. Please join my meeting from your computer, tablet or smartphone. You can also dial in using…

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Science Professional Learning Community (PLC)

September 20, 2017 @ 3:45 pm - 4:45 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

The Science PLC is hosted by Christine Pavlovich.  Christine is a master teacher and a trainer for the Montana Partnership with Regions for Excellence in STEM (MPRES).  She teaches intermediate students in Livingston, MT.  The topic for this first PLC is “Connecting Science and Engineering Practices (components of the new standards) to STEM fields.” Science teachers from all over the state join in on a GoTo meeting to *discuss * share * ask, and * collaborate on science topics. These meetings…

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October 2017

Trending Teacher Topics Online PLC (Being Professional & Keeping Up With Education)

October 2, 2017 @ 3:45 pm - 4:45 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Teachers all across MT are working through everyday teaching issues like homework, grading, behavior management, planning, grouping, student engagement, etc. etc. etc. Now you don’t have to do it alone. Join us for our monthly online meetings to share ideas, discuss ways to overcome obstacles, and discover new resources to improve your class. New topics each month! Unable to join the live meeting? Don’t worry, we’ll post a recording for you. October’s Topic: Being Professional & Keeping Up With Education…

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November 2017

Free

IEFA and Teaching Culturally – Trending Teacher Topics Online Professional Learning Community (PLC) Monthly Meeting

November 13, 2017 @ 4:00 pm - 4:45 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Teachers all across MT are working through everyday teaching issues like homework, grading, behavior management, planning, grouping, student engagement, etc. etc. etc. Now you don’t have to do it alone. Join us for our monthly online meetings to share ideas, discuss ways to overcome obstacles, and discover new resources to improve your class. New topics each month! Unable to join the live meeting? Don’t worry, we’ll post a recording for you. Both the meeting link and previous recordings can be…

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Free

Science Online Professional Learning Community (PLC)

November 15, 2017 @ 3:45 pm - 4:30 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

The Science PLC is hosted by Christine Pavlovich.  Christine is a master teacher and a trainer for the Montana Partnership with Regions for Excellence in STEM (MPRES).  She teaches intermediate students in Livingston, MT.  The topic for this PLC is “Engaging in Argument.” Science teachers from all over the state join in on a GoTo meeting to *discuss * share * ask, and * collaborate on science topics. These meetings are held on the 3rd Wednesday of the month (minus December)…

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Free

Assessment and Data Online Professional Learning Community (PLC)

November 22, 2017 @ 3:30 pm - 4:30 pm
|Recurring Event (See all)

An event every month that begins at 3:30pm on day 22 of the month, repeating until June 27, 2018

Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Except for December, the assessment and data online Professional Learning Community (PLC) will take place the fourth Wednesday of every month during the school year. This PLC will focus on assessment data and its varied uses in Montana’s public schools. Each month will focus on a different topic in a live webinar. There will be an activity to complete each month prior to the live webinar. Possible topics include MontCAS data, uses of Smarter Balanced interim assessment data, the Smarter…

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Virtual Math Community Monthly PLC

November 28, 2017 @ 3:45 pm - 4:30 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

How to use GEMS data in your classroom. Not only will we be looking at GEMS data to inform our practice as teachers, but think about how we could use this data in our classroom with our students. Guest speaker: Eric Meredith, a data specialist at OPI. Use the link to join the live meeting, join a couple minutes early to give your computer time to connect (Meeting ID & Access Code: 804-885-669) Audio options: Call in – +1 (646)…

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December 2017

Virtual Math Community Monthly PLC

December 19, 2017 @ 3:30 pm - 4:30 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Join us to talk about all things formative assessments. You will learn about FREE formative assessments that are available through SBAC and ACT for all Montana Teachers. Learn how to interpret your formative assessment data in order to best inform your practice.

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Virtual Math Community Monthly PLC

December 19, 2017 @ 3:45 pm - 4:30 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Join our interactive and discussion based Virtual Math community every 4th Tuesday (one week early!) from 3:45-4:30pm. We will be focusing on Formative Assessments. We will take a look at both SBAC interim free formative assessments as well as the ACT free online prep resource. Learn how to interpret your formative assessment data in order to best inform your practice. Our quests are Jessica Eilertson and Yvonne Field from the Data and Assessment division at the Office of Public instruction.…

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Free

Assessment and Data Online Professional Learning Community (PLC)

December 22, 2017 @ 3:30 pm - 4:30 pm
|Recurring Event (See all)

An event every month that begins at 3:30pm on day 22 of the month, repeating until June 27, 2018

Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Except for December, the assessment and data online Professional Learning Community (PLC) will take place the fourth Wednesday of every month during the school year. This PLC will focus on assessment data and its varied uses in Montana’s public schools. Each month will focus on a different topic in a live webinar. There will be an activity to complete each month prior to the live webinar. Possible topics include MontCAS data, uses of Smarter Balanced interim assessment data, the Smarter…

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January 2018

Free

Orientation to Special Education

January 8 @ 12:00 am - February 3 @ 5:00 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

For Montana Para-educators This module is designed to provide a basic introduction to special education and the needs of students who have disabilities. The content consists of introductory material regarding legal and historical foundations of special education, human growth and development, the nature of disabilities, and an introduction to the basic human needs that para-educators must address. Registration Note: We respectfully ask that only Montana para-educators register for this module. It is designed to meet their unique professional development needs.…

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It’s Your First Year Teaching, Now What!?

January 15 @ 8:00 am - March 5 @ 5:00 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Classrooms are complex environments in which teachers must deal with uncertainty, diversity, and a certain amount of productive chaos. Because there is such demand on immediate decision making and quick responses, the classroom can feel like a hospital emergency room. The best antidotes to potential disaster are classroom organization, community building, record keeping, resources, respect for diversity, and key teaching strategies that facilitate student success. This Teacher Learning Hub course will not only provide ideas for classroom management and instruction,…

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Science 3D Implementation Mentorship

January 22 @ 8:00 am - March 4 @ 5:00 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

This course will introduce K-12 teachers to the NGSS Framework which focuses on the science and engineering practices, crosscutting concepts, core ideas and the journey of becoming a 3D Science Teacher. Teachers will find that many of the practices fit well with other content areas students are exposed to. This class can directly apply to what you are already doing in the classroom with your students. We will hold discussions, share information and student work, bounce ideas of one another…

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STREAM Online Math Courses

January 22 @ 8:00 am - February 13 @ 5:00 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

*NEW! Non-Facilitated Module: Fraction Models and Operations (3-5) JANUARY 22 – FEBRUARY 9 This 3-week non-facilitated module (see end of document for details) examines learning progressions and models related to operations on fractions. Another module, Developing Fraction Concepts 3-5, explores the meaning of “fraction” and fundamental concepts of equivalence and comparison. This module goes a step further to examine conceptual understanding of fraction operations and the models used to develop these concepts. Specific goals and activities include the following: …

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Free

Assessment and Data Online Professional Learning Community (PLC)

January 22 @ 3:30 pm - 4:30 pm
|Recurring Event (See all)

An event every month that begins at 3:30pm on day 22 of the month, repeating until June 27, 2018

Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Except for December, the assessment and data online Professional Learning Community (PLC) will take place the fourth Wednesday of every month during the school year. This PLC will focus on assessment data and its varied uses in Montana’s public schools. Each month will focus on a different topic in a live webinar. There will be an activity to complete each month prior to the live webinar. Possible topics include MontCAS data, uses of Smarter Balanced interim assessment data, the Smarter…

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Free

Virtual Math Communities: 360 Degree Math

January 23 @ 3:45 pm - 4:30 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Tuesday January 23rd learn about vertical non- permanent surfaces in the math classroom. Sean Kavanaugh the creator of 360 Degree math will be with us. Learn from the expert on how to get kids out of their seats and collaborating. Check out his webpage at www.360degreemath.com.

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February 2018

Free

Engagement and Classroom Management Live Discussion

February 12 @ 4:00 pm - 5:00 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Teachers all across Montana are working through everyday teaching issues like homework, grading, behavior management, planning, grouping, student engagement, etc. etc. etc. Now you don’t have to do it alone. Join us for our monthly online meetings to share ideas, discuss ways to overcome obstacles, and discover new resources to improve your class. New topics each month! Unable to join the live meeting? Don’t worry, we’ll post a recording for you on the Teacher Learning Hub. February’s Trending Teacher Topic…

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STREAM Online Math Courses

February 19 @ 8:00 am - March 9 @ 5:00 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

*NEW! Non-Facilitated Module: You Decide How to Divide (3-5) FEBRUARY 19 – MARCH 9 This 3-week non-facilitated module (see end of document for details) examines the prior knowledge and mathematical foundations that support students’ conceptual understanding of division. Specific goals and activities include the following: ● Investigate different models for multiplication and how they contribute to a multi-grade learning progression; analyze student work using these models. ● Explore a variety of models and concepual frameworks for division; analyze aspects of…

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Free

Assessment and Data Online Professional Learning Community (PLC)

February 22 @ 3:30 pm - 4:30 pm
|Recurring Event (See all)

An event every month that begins at 3:30pm on day 22 of the month, repeating until June 27, 2018

Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Except for December, the assessment and data online Professional Learning Community (PLC) will take place the fourth Wednesday of every month during the school year. This PLC will focus on assessment data and its varied uses in Montana’s public schools. Each month will focus on a different topic in a live webinar. There will be an activity to complete each month prior to the live webinar. Possible topics include MontCAS data, uses of Smarter Balanced interim assessment data, the Smarter…

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Free

Virtual Math Community: Online Resource use best practices

February 27 @ 3:45 pm - 4:30 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Feeling overwhelmed by the amount of online resources for your math classroom? Learn from the best, Tom Redmon from Daily Elementary in Hamilton, MT. Learn about best practices for using online resources in the math classroom. Examples will be from Learn Zillion, Khan, and more.

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March 2018

Join the Online Conversation about Arts Education in Montana!

March 15 @ 3:45 pm - 4:30 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Join this live, online chat hosted by Art Education Director from the Montana Arts Council. This month’s topic will be grants and arts education.

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STREAM Online Math Courses

March 19 @ 8:00 am - April 6 @ 5:00 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

*NEW! Non-Facilitated Module: Geometric Measurement (K-5) MARCH 19 – APRIL 6 This 3-week non-facilitated module (see end of document for details) elaborates learning steps that students follow to acquire conceptual understanding of linear measurement, perimeter, area, and volume. Only after the conceptual knowledge is solidly developed are students able to accurately apply formulas and choose appropriate tools. Specific goals include: ● Recognize how to incorporate the eight Mathematical Practices into lessons and activities. ● Develop conceptual progressions for learning perimeter,…

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Free

Science Virtual Community

March 21 @ 3:45 pm - 4:30 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Join your fellow science teachers in the Science Virtual Community Wednesday, March 21st, as we discuss Practice Focus – Obtaining, Evaluating, and Communicating Information. Contact Science Instructional Coordinator Michelle McCarthy at 406-444-3537 if you need additional information.

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Free

Assessment and Data Online Professional Learning Community (PLC)

March 22 @ 3:30 pm - 4:30 pm
|Recurring Event (See all)

An event every month that begins at 3:30pm on day 22 of the month, repeating until June 27, 2018

Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Except for December, the assessment and data online Professional Learning Community (PLC) will take place the fourth Wednesday of every month during the school year. This PLC will focus on assessment data and its varied uses in Montana’s public schools. Each month will focus on a different topic in a live webinar. There will be an activity to complete each month prior to the live webinar. Possible topics include MontCAS data, uses of Smarter Balanced interim assessment data, the Smarter…

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April 2018

EdReady for the Math Classroom Online Chat

April 3 @ 3:45 pm - 4:30 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

EdReady Math- Join Ryan Schrenk to learn about all that EdReady has to offer, for free, to your class this spring! Learn best practices on using EdReady and how to best prepare your students for the next grade, or college! Log in through the Teacher Learning Hub and enroll in the Virtual Math Community to earn 1 renewal unit. Or paste this link into your browser (https://global.gotomeeting.com/join/804885669%20) to join the meeting!

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STREAM Online Math Courses

April 16 @ 8:00 am - May 4 @ 5:00 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

NEW! Non-Facilitated Module: Making Sense of Modeling (8-12) APRIL 16 – MAY 4 In this 3-week non-facilitated module (see end of document for details) you will investigate standards-based mathematical modeling at the secondary level through the lenses of instruction and assessment. Specific goals and activities include the following:  Examine competing conceptions of modeling; study the CCSS definition of modeling and six components of the modeling cycle; rate modeling prompts on a scale from weak to strong.  Engage in…

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Free

Assessment and Data Online Professional Learning Community (PLC)

April 22 @ 3:30 pm - 4:30 pm
|Recurring Event (See all)

An event every month that begins at 3:30pm on day 22 of the month, repeating until June 27, 2018

Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Except for December, the assessment and data online Professional Learning Community (PLC) will take place the fourth Wednesday of every month during the school year. This PLC will focus on assessment data and its varied uses in Montana’s public schools. Each month will focus on a different topic in a live webinar. There will be an activity to complete each month prior to the live webinar. Possible topics include MontCAS data, uses of Smarter Balanced interim assessment data, the Smarter…

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Virtual Math Community – Planning Math Lessons with CHAMPS

April 24 @ 3:45 pm - 4:30 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

CHAMPS – Have you ever created an amazing lesson plan with activities and groupings that completed flopped? Come learn about CHAMPS behavior “management” outline. CHAMPS is both a planning tool for teachers as well as wording you can use with your students to help bring clear expectations to allow your lesson plans to thrive. Join the GoTo Meeting at 3:45 on Tuesday, April 25.

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May 2018

Free

Student Created Digital Learning Portfolios

May 14 - June 10
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

In this Teacher Learning Hub course, teachers will utilize the free digital learning portfolio tool Seesaw to research, analyze and create digital portfolios. Teachers will have the opportunity to collaborate, learn and share ideas in this hands-on learning environment. Walk away with the tools, excitement, and support to get started using portfolios in your classroom and for professional learning! Facilitated by Traci Piltz, Technology Integration Specialist, Billings Public Schools Course Runs May 14th – June 10th Registration closes May 14th…

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Free

Assessment and Data Online Professional Learning Community (PLC)

May 22 @ 3:30 pm - 4:30 pm
|Recurring Event (See all)

An event every month that begins at 3:30pm on day 22 of the month, repeating until June 27, 2018

Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Except for December, the assessment and data online Professional Learning Community (PLC) will take place the fourth Wednesday of every month during the school year. This PLC will focus on assessment data and its varied uses in Montana’s public schools. Each month will focus on a different topic in a live webinar. There will be an activity to complete each month prior to the live webinar. Possible topics include MontCAS data, uses of Smarter Balanced interim assessment data, the Smarter…

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Summer Math Slide Virtual Discussion

May 22 @ 3:45 pm - 4:30 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Please join us on May 22nd at 3:45pm to discuss summer math slide. Summer slide is real and is seen in all content areas including math. We will begin by looking at some of the research behind summer slide. Then we will discuss summer math opportunities online and here in Montana to get your students and parents involved in before the last day of school to help prevent summer slide. Join us through the Virtual Math Community on the Teacher…

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June 2018

Free

It’s Your First Year Teaching, Now What!?

June 11 - July 22
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Facilitated Teacher Learning Hub Course Description: Classrooms are complex environments in which teachers must deal with uncertainty, diversity, and a certain amount of productive chaos. This course will not only provide ideas for classroom management and instruction but give you the tools to thrive during your early years of teaching. Dates: June 11-July 22, Registration closes June 11 or when the course is full. 12 OPI Renewal Units Facilitated by Lander Sulser

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STREAM Online Math Courses

June 11 @ 8:00 am - June 29 @ 5:00 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Geometric Thinking (K-3) JUNE 11 – JUNE 29 This 3-week module investigates conceptually related and interdependent ideas about geometric shapes, geometric structure, and spatial relationships. Geometry is a particularly relevant area of mathematics for young children, who are naturally curious about their physical world. Specific goals and activities including the following: ● Examine properties [attributes] and categorization of two-dimensional shapes. ● Explore composition and decomposition of geometric shapes. ● Develop deeper understanding of spatial relations and spatial structuring. Registration will…

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Free

Teaching and Assessing English Learners

June 18 - July 31
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Facilitated Teacher Learning Hub Course Description: This course is designed to provide content teachers with the skills needed to adapt standards-based lessons for English learners. Including identifying academic language, creating language goals for ELs, differentiating instruction, and creating scaffolds based on EL proficiency levels. Required Textbook: Access to Academics: Planning Instruction for K-12 Classrooms with ELLs. Optional Component: Participate in MSU’s MontTELLs grant project and receive a $500 stipend. Read more about this opportunity (link: https://docs.google.com/document/d/119VD03Mu25ZT-_93Lfh9ZIH6zQg89LZ7_fKaxQkBvzo/edit?usp=sharing) Dates: June 18th –…

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Free

Assessment and Data Online Professional Learning Community (PLC)

June 22 @ 3:30 pm - 4:30 pm
|Recurring Event (See all)

An event every month that begins at 3:30pm on day 22 of the month, repeating until June 27, 2018

Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Except for December, the assessment and data online Professional Learning Community (PLC) will take place the fourth Wednesday of every month during the school year. This PLC will focus on assessment data and its varied uses in Montana’s public schools. Each month will focus on a different topic in a live webinar. There will be an activity to complete each month prior to the live webinar. Possible topics include MontCAS data, uses of Smarter Balanced interim assessment data, the Smarter…

Find out more »
Free

Science 3D Implementation Mentorship

June 25 - August 5
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Facilitated Teacher Learning Hub Course Description: This course will introduce the NGSS Framework which focuses on the science and engineering practices, crosscutting concepts, core ideas and the journey of becoming a 3D Science Teacher. Teachers will find that many of the practices fit well with other content areas students are exposed to and what you are already doing in the classroom. Dates: June 25th- August 5th, Registration closes June 25th or when the course is full. 24 OPI Renewal Units…

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July 2018

STREAM Online Math Courses

July 9 @ 8:00 am - July 27 @ 5:00 pm
Teacher Learning Hub, PO Box 202501
Helena, MT 59601 United States

Algebraic Thinking (K-5) JULY 9 – JULY 27 This 3-week module will examine learning progressions that illuminate early stages of algebraic thinking and develop the foundation for later success in algebra. Specific goals and activities include the following: ● Explore how addition, subtraction, multiplication, and division operate under the same properties in algebra as they do in arithmetic. ● Recognize variables as tools that are used to describe mathematical ideas in a variety of ways. ● Develop strategies for describing…

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