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“Mathematics is a subject that allows for precise thinking, but when that precise thinking is combined with creativity, flexibility, and multiplicity of ideas, the mathematics comes alive for people. Teachers can create such mathematical excitement in classrooms, with any task, by asking students for the different ways they see and can solve tasks and by encouraging discussion of different ways of seeing problems.”
(Boaler, Mathematical Mindsets, 2015, p 59)
Considerations:
Considerations:
provide ALL students with access to high quality numeracy experiences and high expectations for mathematics learning
encouraging multiple ways for students to demonstrate their understanding
student voice and choice
inclusive practices, such as accommodations for written output and sensory/physical needs, and cultural responsiveness
provide high level content to ALL students through parallel tasks, where the same learning standard is being addressed
flexible groupings
whole group: instruction and building community understanding
small group: guided math, differentiation, explores
individual: conferencing, interviews, explicit instruction, authentic practice
“visibly random groupings”
visual components, open tasks, multi-modality
Resources:
Resources:
Provide ALL students with access to high quality numeracy experiences and high expectations for mathematics learning
Provide ALL students with access to high quality numeracy experiences and high expectations for mathematics learning
Marion Small demonstrates how to effectively use two powerful strategies for differentiation: open questions and parallel tasks. Many classroom examples are included and organized by grade band.
Marion Small continues to address differentiation for high school mathematics through open questions and parallel tasks. Also included are inclusive learning conversations to promote student engagement.
How can we engage and support diverse learners in inclusive classrooms? Nicole Widdess, Linda Watson, and Leyton Schnellert explore these questions and offer classroom examples to help busy teachers develop communities where all students learn, focusing on the big ideas in education today.
The National Council of Teachers of Mathematics series on access and equity in mathematics education
The National Council of Teachers of Mathematics series on access and equity in mathematics education
Also from the National Council of Teachers of Mathematics: articles and professional resources addressing issues of equity and access in mathematics education
Also from the National Council of Teachers of Mathematics: articles and professional resources addressing issues of equity and access in mathematics education
Access_and_Equity.pdfNCTM Access and Equity in Mathematics Education Position Paper
teem7_final1.pdfTeaching for Excellent and Equity in Mathematics: Mathematics Education Through the Lens of Social Justice
Professional resource available through the NCTM
Chorney Social Justice and Mathematics.pdfSocial Justice and Mathematics
Social Justice and Mathematics
Dr. Sean Chorney (Simon Fraser University) on social justice and the mathematics classroom.
A collaborative MTBoS site; including curriculum and resources, books and articles and video presentations.
Encouraging multiple ways for students to demonstrate their understanding
Encouraging multiple ways for students to demonstrate their understanding
Shelley Moore's book explores inclusive practices.
Shelley's blog includes many resources on inclusive education.
Shelley Moore's "Five More Minute" series: videos on resources, research, professional development activities and inspiration in 5 minute chunks
Dr. John Hattie on visible learning for mathematics
An excerpt from the book "Mathematical Mindsets: Unleashing Students' Potential Through Creative Math, Inspiring Messages and Innovative Teaching," by Jo Boaler.
Collection of Open Middle Questions K-3
Collection of Open Middle Questions K-3
Curated by Sandra Ball
More examples (for all grade levels) can be found here: Robert Kaplinsky's Open Middle Website.
SB_Open_Middle_Questions_K-3.pdfFlexible groupings
Flexible groupings
Targeted, Small Group Instruction
Targeted, Small Group Instruction
In response to student needs or interests, guided math groups allow students to focus on a specific concept or skill in to develop or expand further understanding.
Visibly Random Groupings
Visibly Random Groupings
Every student has something to add to the conversation, and so grouping should be random. Keeping the randomness visible allows students to know that they are all a valued part of the group. With regular random grouping, students are given an opportunity to work with a variety of people, and are exposed to different ways of thinking. If a student grouping doesn't work one day, chances are those students will be in a different group the next day. Along the way, students learn that random doesn't always feel that random.
Guided Small Group Instruction
Guided Small Group Instruction
Guided math provided a framework to suport teachers in differentiating math instruction. Strategies for whole-class and small-group instruction, as well as Math Workshop are explored.
Dr Nicki Newton's Guided Math in Action books provide teachers with support towards providing effective guided math lessons, scaffolding learning in small groups, and assessing student learning.
Math Workshop
Math Workshop
This framework provides a guide for creating predictable routines that include various grouping of students. Every class starts with a number sense routine and ends with reflection. In between, students are involved in purposeful math tasks, either individually, in pairs, or small groups, focus lessons, guided math groups, or learning stations. Chapters 1 and 2 describe how Math Workshop can help develop a community of mathematicians. These chapters explore how Math Workshop, as a framework, supports responsive teaching, that involves active listening, noticing, observing and wondering for students.
Math Workshop by Jennifer Lempp
Math Workshop Model
Characteristics of MathWorkshop.pdfCharacteristics of Math Workshop
Math Workshop_3 Buckets.pdfMath Workshop: 3 Buckets
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