Inside Mathematics
A professional resource for teachers, coaches, and administrators passionate about improving students’ mathematics learning and performance.
Inside Mathematics provides a resource for educators around the world who struggle to provide the best mathematics instruction they can for their students. Too often, teachers who excel at reaching students have few ways of sharing these strong practices with others – and teachers who struggle, struggle alone. Our classroom doors have remained closed too often and for too long.
Inside Mathematics opens those doors:
- to tested Public Lessons presented to children and groups of observing teachers;
- to guided tours of reflective mathematics practice, identifying what makes teaching, learning, and improving instruction in mathematics a difficult enterprise and providing resources for teachers to improve their practice;
- to mathematics teaching and learning tools and resources to support classroom teachers’, math coaches’, and administrators’ daily practices;
- and to a professional learning community in which you are invited to open your own classroom door and engage in conversation about your own mathematics teaching and learning.
This work grew out of the Noyce Foundation’s Silicon Valley Mathematics Initiative. SVMI is based on high performance expectations, ongoing professional development, examining student work, and improved math instruction. The initiative includes a formative and summative performance assessment system, pedagogical content coaching, and leadership training and networks. Coaches in SVMI learn strategies of re-engagement with students around mathematics assessments, and Public Lessons on re-engagement are featured here.
These demonstration lessons are taught by practicing teachers and professional developers. These lessons have been extensively field-tested in multiple settings and refined over time, and are generally presented to an audience of participating students and observing teachers.
In this lesson, Tracy’s students are working on Level A of the Problem of the Month, in which they “are presented with a situation that involves making sense of totals and comparison differences.”
In this lesson, the students and I are working on understanding the language of word problems, using the specific words as clues to the mathematical operations embedded in the problem
In this lesson, Sola works with first-grade students on a formative re-engagement lesson about non-standard measurement.
In this lesson, Becca Sherman introduces the “Singapore Bar Model” to students who have never seen it in before. She uses the context of solving division story problems to introduce the model.
In the lesson, Lewis re-engages fourth-grade students after an initial experience the week prior, which was focused on classifying and categorizing triangles.
This lesson makes use of “mentor problems” to help students identify and connect mathematical concepts within quantitative problem-solving situations.
This video series looks at how to use students’ natural thinking about rates and how these ideas are developed, expanded, and formalized over a period of time by using the Problem of the Month “First Rate.”
This lesson is a re-engagement lesson designed for learners to revisit a problem-solving task they have already experienced.
This lesson is about ratios and proportions using candy boxes as well as a recipe for making candy as situations to be considered.
In this lesson, she connects her students’ work with prior “mentor problems” — string problems and recipe problems
In fall of 2008, Sally Keyes (math coach), Kamaljit Sangha (7/8 math teacher/department leader) and Cecilio Dimas (7/8 math teacher) developed our first lesson on cost-analysis.
The purpose of this re-engagement lesson was to address student misconceptions and deepen student understanding of area and perimeter.
This lesson is intended to deepen students’ understanding of the connections between different representations of functions—graphs, t-charts, and equations.
This lesson is about trying to get students to make connections between ideas about equations, inequalities, and expressions.
This video series looks at how to use students’ natural thinking about rates and how these ideas are developed, expanded, and formalized over a period of time by using the Problem of the Month “First Rate.”
This lesson was part of a unit on linear relationships and systems of equations
In this lesson, Antoinette’s students are asked to compare a graph and an equation to a real-life situation in which liquid flows out of a container that has a top prism and a bottom prism.
The lesson documented in this set of videos is from Molly’s Enriched Geometry 9th-grade class.
This lesson is about properties of quadrilaterals and learning to investigate, formulate, conjecture, justify, and ultimately prove mathematical theorems.
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A professional resource for teachers, coaches, and administrators passionate about improving students’ mathematics learning and performance.
Inside Mathematics provides a resource for educators around the world who struggle to provide the best mathematics instruction they can for their students. Too often, teachers who excel at reaching students have few ways of sharing these strong practices with others – and teachers who struggle, struggle alone. Our classroom doors have remained closed too often and for too long.
Inside Mathematics opens those doors:
- to tested Public Lessons presented to children and groups of observing teachers;
- to guided tours of reflective mathematics practice, identifying what makes teaching, learning, and improving instruction in mathematics a difficult enterprise and providing resources for teachers to improve their practice;
- to mathematics teaching and learning tools and resources to support classroom teachers’, math coaches’, and administrators’ daily practices;
- and to a professional learning community in which you are invited to open your own classroom door and engage in conversation about your own mathematics teaching and learning.
This work grew out of the Noyce Foundation’s Silicon Valley Mathematics Initiative. SVMI is based on high performance expectations, ongoing professional development, examining student work, and improved math instruction. The initiative includes a formative and summative performance assessment system, pedagogical content coaching, and leadership training and networks. Coaches in SVMI learn strategies of re-engagement with students around mathematics assessments, and Public Lessons on re-engagement are featured here.
These demonstration lessons are taught by practicing teachers and professional developers. These lessons have been extensively field-tested in multiple settings and refined over time, and are generally presented to an audience of participating students and observing teachers.
In this lesson, Tracy’s students are working on Level A of the Problem of the Month, in which they “are presented with a situation that involves making sense of totals and comparison differences.”
In this lesson, the students and I are working on understanding the language of word problems, using the specific words as clues to the mathematical operations embedded in the problem
In this lesson, Sola works with first-grade students on a formative re-engagement lesson about non-standard measurement.
In this lesson, Becca Sherman introduces the “Singapore Bar Model” to students who have never seen it in before. She uses the context of solving division story problems to introduce the model.
In the lesson, Lewis re-engages fourth-grade students after an initial experience the week prior, which was focused on classifying and categorizing triangles.
This lesson makes use of “mentor problems” to help students identify and connect mathematical concepts within quantitative problem-solving situations.
This video series looks at how to use students’ natural thinking about rates and how these ideas are developed, expanded, and formalized over a period of time by using the Problem of the Month “First Rate.”
This lesson is a re-engagement lesson designed for learners to revisit a problem-solving task they have already experienced.
This lesson is about ratios and proportions using candy boxes as well as a recipe for making candy as situations to be considered.
In this lesson, she connects her students’ work with prior “mentor problems” — string problems and recipe problems
In fall of 2008, Sally Keyes (math coach), Kamaljit Sangha (7/8 math teacher/department leader) and Cecilio Dimas (7/8 math teacher) developed our first lesson on cost-analysis.
The purpose of this re-engagement lesson was to address student misconceptions and deepen student understanding of area and perimeter.
This lesson is intended to deepen students’ understanding of the connections between different representations of functions—graphs, t-charts, and equations.
This lesson is about trying to get students to make connections between ideas about equations, inequalities, and expressions.
This video series looks at how to use students’ natural thinking about rates and how these ideas are developed, expanded, and formalized over a period of time by using the Problem of the Month “First Rate.”
This lesson was part of a unit on linear relationships and systems of equations
In this lesson, Antoinette’s students are asked to compare a graph and an equation to a real-life situation in which liquid flows out of a container that has a top prism and a bottom prism.
The lesson documented in this set of videos is from Molly’s Enriched Geometry 9th-grade class.
This lesson is about properties of quadrilaterals and learning to investigate, formulate, conjecture, justify, and ultimately prove mathematical theorems.
