Local District West / Ambitious Mathematics Teaching

Ambitious Mathematics Teaching (AMT) Framework - Local District West

Principles of Ambitious Math Teaching or Deep Math Instructional Change

Focus on Enacting at a High Level, Effective and Equity Based Math Teaching Practices (see below), the leading indicator for deep instructional change in math teaching.

Use Rigorous and Relevant Tasks within High-Leverage Math Instructional Activities as the Lever for Deep Math Instructional Change as they Serve as Containers for the Effective and Equity-Based Math Teaching Practices (see tables at bottom of page)

Affect shifts in Teacher Skillsets, Mindsets, and Toolsets to attain Ambitious Math Teaching (AMT) through new learning and implementation support and then self-sustained collaborative inquiry cycles thereafter. All 3 components are necessary and if one is missing (i.e. mindsets) AMT will not be attained.

Cultivate Cultures that Use Student Work Data Regularly with a Focus on Student Mathematical Thinking as part of Collaborative Inquiry Cycles by building systems and structures and training on roles, processes or protocols, and tools.

Engage in Regular Collaborative Inquiry Cycles to develop Collective Teaching Efficacy (John Hattie & Jenni Donohoo & Adaptive Schools), Teacher Generative Change, and to build a New Collective Identity for Teacher Teams.

Focus on the Teacher Team (grade level, grade span, or department), as the unit of change. (Gibbons et. all 2017)

AMT Skillsets: Excellence and Equity in Math Teaching Practices

PtA

Foundational Documents and Activities

These documents and activities support participants with developing and deepening understanding of the Effective Math Teaching Practices from Principles to Actions: Ensuring Mathematical Success for All.

$Impact Math Identity$

Foundational Documents and Activities

These documents and activities support participants with developing and deepening understanding of the Equity-Based Math Teaching Practices from The Impact of Identity in K-8 Mathematics: Rethinking Equity-Based Practices.

AMT Toolsets: Rich & Relevant Tasks and High Leverage Math Instructional Activities

Rich Mathematics Tasks Resources

Michigan Council of Teachers of Mathematics - Rich Math Tasks

Rich math tasks are great tools to engage students in the CCSS Standards of Mathematical Practice while building content knowledge. They're also a wonderful formative assessment tool.

High Leverage Math Instructional Activities (IAs) that Contain Many Effective Math Teaching Practices

Number Sense and Reasoning Routine	NCTM Effective Math Teaching Practices Addressed	Hyperlink to Implementation Resources
Number Strings^*	Establish mathematics goals to focus learning Implement tasks that promote reasoning and problem solving Use and connect mathematical representations Facilitate meaningful mathematical discourse Pose purposeful questions Build procedural fluency through conceptual understanding Elicit and use evidence of student thinking	Number Strings Resources
Which One Doesn’t Belong ^*(WODB)	Establish mathematics goals to focus learning Implement tasks that promote reasoning and problem solving Facilitate meaningful mathematical discourse Pose purposeful questions Elicit and use evidence of student thinking	Which One Doesn't Belong Google Drive Folder
Choral Counting^*	Establish mathematics goals to focus learning Implement tasks that promote reasoning and problem solving Use and connect mathematical representations Facilitate meaningful mathematical discourse Pose purposeful questions Build procedural fluency through conceptual understanding Elicit and use evidence of student thinking	Choral Counting Google Drive Folder
Number Talks^*	Establish mathematics goals to focus learning Implement tasks that promote reasoning and problem solving Use and connect mathematical representations Facilitate meaningful mathematical discourse Pose purposeful questions Build procedural fluency through conceptual understanding Elicit and use evidence of student thinking	Number Talks Google Drive Folder
Ways to Make a Number^*	Establish mathematics goals to focus learning Implement tasks that promote reasoning and problem solving Use and connect mathematical representations Facilitate meaningful mathematical discourse Pose purposeful questions Elicit and use evidence of student thinking	Ways to Make a Number Google Drive Folder
True/False Number Sentences	Establish mathematics goals to focus the learning. Implement tasks that promote reasoning and problem solving Facilitate meaningful mathematical discourse Pose purposeful questions Build procedural fluency through conceptual understanding Support productive struggle in learning mathematics Elicit and use evidence of student thinking	True False Number Sentences Google Driver Folder

^* PD on this Math IA provided by LD West Elementary Math Coordinator

Counting Collections Lesson OR Problem Solving Lesson	NCTM Effective Math Teaching Practices Addressed	Hyperlink to Implementation Resources
Counting Collections Lesson #	Establish mathematics goals to focus the learning. Implement tasks that promote reasoning and problem solving Use and connect mathematical representations Facilitate meaningful mathematical discourse Pose purposeful questions Build procedural fluency through conceptual understanding Support productive struggle in learning mathematics Elicit and use evidence of student thinking	Counting Collections Resources
Cognitively Guided Instruction Problem Solving Lesson^# (Launching Task, Problem Solving, Strategy Share)	Establish mathematics goals to focus learning Implement tasks that promote reasoning and problem solving Use and connect mathematical representations Facilitate meaningful mathematical discourse Pose purposeful questions Build procedural fluency through conceptual understanding Support productive struggle in learning mathematics Elicit and use evidence of student thinking	CGI Problem Solving Lesson Resources
Three Phase Problem-Based Lesson^# (Before Phase, During Phase, After Phase)	Establish mathematics goals to focus learning Implement tasks that promote reasoning and problem solving Use and connect mathematical representations Facilitate meaningful mathematical discourse Pose purposeful questions Build procedural fluency through conceptual understanding Support productive struggle in learning mathematics Elicit and use evidence of student thinking	Three Phase Problem Based Lesson Resources
Three Act Task Lesson (Act 1, Act 2, Act 3)	Establish mathematics goals to focus learning Implement tasks that promote reasoning and problem solving Use and connect mathematical representations Facilitate meaningful mathematical discourse Pose purposeful questions Build procedural fluency through conceptual understanding Support productive struggle in learning mathematics Elicit and use evidence of student thinking	Three Act Task Lesson Resources
Curriculum Embedded Performance Tasks^#	Establish mathematics goals to focus learning Implement tasks that promote reasoning and problem solving Use and connect mathematical representations Facilitate meaningful mathematical discourse Pose purposeful questions Build procedural fluency through conceptual understanding Support productive struggle in learning mathematics Elicit and use evidence of student thinking	Performance Task Resources

^# PD on this Math IA provided by LD West Elementary Math Coordinator

AMT Toolsets: Rich & Relevant Tasks and High Leverage Math Instructional Activities

Rich Mathematics Tasks Resources

Number Sense and Reasoning Routine

NCTM Effective Math Teaching Practices Addressed

Hyperlink to Implementation Resources

Number Strings*

Which One Doesn’t Belong *(WODB)

Choral Counting*

Number Talks*

Ways to Make a Number*

True/False Number Sentences

Counting Collections Lesson OR Problem Solving Lesson

NCTM Effective Math Teaching Practices Addressed

Hyperlink to Implementation Resources

Counting Collections Lesson #

Cognitively Guided Instruction Problem Solving Lesson# (Launching Task, Problem Solving, Strategy Share)

Three Phase Problem-Based Lesson#

(Before Phase, During Phase, After Phase)

Three Act Task Lesson

(Act 1, Act 2, Act 3)

Curriculum Embedded Performance Tasks#

Number Strings^*

Which One Doesn’t Belong ^*(WODB)

Choral Counting^*

Number Talks^*

Ways to Make a Number^*

Cognitively Guided Instruction Problem Solving Lesson^# (Launching Task, Problem Solving, Strategy Share)

Three Phase Problem-Based Lesson^#

Curriculum Embedded Performance Tasks^#