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The National Science Foundation funded A Video Research Report of the Children’s Math Worlds Research Project to show the levels of learning possible by children from backgrounds of poverty who experience good teaching. The classroom videos were taken in four public schools, three high-poverty urban schools with some to most students speaking a native language other than English and a suburban school with immigrants from many countries. The classrooms you will see were built by the continuing efforts of many dedicated teachers, students, parents, school administrators, and members of the Children’s Math Worlds research team. Language and ideas of students, teachers, and parents were woven into the curriculum as it was revised each year. The project had a strong emphasis on children explaining their thinking and on using math drawings developed in the project to support student thinking and explaining. None of our teachers had learned math in this way, so they were all brave pioneers in learning how to create such classrooms. All classrooms are complicated places, and no teaching segment can be perfect. We can all have ideas about how to change things the next time. I am enormously proud of and grateful to these teachers for being willing to share their classrooms so that everyone can see what students can do if we support them in their thinking. The Teaching Progressions show in more detail the learning progressions students experienced to reach the points shown on these Classroom Videos.

Classroom Videos

A - Classroom Components

B - Math Explanations

C - Longer Classroom

Teaching Examples

D - Kindergarten

E - G1 Single-Digit

Addition and Subtraction

F - G3 Single-Digit

Multiplication and Division

G - Place Value and Multidigit

Addition and Subtraction

H - G3 & G5 Fractions and Ratios

I - Teacher Interviews Grade 1

J - Teacher Interviews

Grades 2 and 3

B Math Explanations shows examples from many different classrooms interspersed with explanations by me of main aspects of the research-based Children’s Math Worlds approaches to each topic. [45 minutes]

Part 1 Multidigit Addition shows the research-based mathematically-desirable and accessible written methods developed in the Children’s Math Worlds Project (New Groups Below and Show All Subtotals) and the drawings that support meaning-making for students. [9 minutes]

Part 2 Multidigit Subtraction shows the research-based mathematically-desirable and accessible written method developed in the Children’s Math Worlds Project (First Ungroup Everywhere Needed) and the drawings that support meaning-making for students. [4 minutes]

Part 3 Word Problems shows the sense-making about word problem situations as students use their own math drawings, special Children’s Math Worlds math drawings, and equations to represent and then solve the situation. [7 minutes]

Part 4 Single-Digit Multiplication and Division describes the three important aspects of learning multiplications and divisions: finding patterns for each number, real-world situations, and sustained well-organized practice. [11 minutes]

Part 5 Multidigit Multiplication shows the four research-based mathematically-desirable and accessible written methods developed in the Children’s Math Worlds Project and the math drawings that support meaning-making for students. [8.5 minutes]

Part 6 Fractions describes how unit fractions and length models work to support sense-making about equivalent fractions and addition, subtraction, and multiplication of fractions. [5 minutes]

Classroom videos showing these topics are in C Longer Classroom Teaching Examples except for Part 4 Single-Digit Multiplication and Division, whose videos are in F G3 Single-digit Multiplication and Division Parts 1 through 5.

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B Math Explanations shows examples from many different classrooms interspersed with explanations by me of main aspects of the research-based Children’s Math Worlds approaches to each topic. [45 minutes]

Part 1 Multidigit Addition shows the research-based mathematically-desirable and accessible written methods developed in the Children’s Math Worlds Project (New Groups Below and Show All Subtotals) and the drawings that support meaning-making for students. [9 minutes]

Part 2 Multidigit Subtraction shows the research-based mathematically-desirable and accessible written method developed in the Children’s Math Worlds Project (First Ungroup Everywhere Needed) and the drawings that support meaning-making for students. [4 minutes]

Part 3 Word Problems shows the sense-making about word problem situations as students use their own math drawings, special Children’s Math Worlds math drawings, and equations to represent and then solve the situation. [7 minutes]

Part 4 Single-Digit Multiplication and Division describes the three important aspects of learning multiplications and divisions: finding patterns for each number, real-world situations, and sustained well-organized practice. [11 minutes]

Part 5 Multidigit Multiplication shows the four research-based mathematically-desirable and accessible written methods developed in the Children’s Math Worlds Project and the math drawings that support meaning-making for students. [8.5 minutes]

Part 6 Fractions describes how unit fractions and length models work to support sense-making about equivalent fractions and addition, subtraction, and multiplication of fractions. [5 minutes]

Classroom videos showing these topics are in C Longer Classroom Teaching Examples except for Part 4 Single-Digit Multiplication and Division, whose videos are in F G3 Single-digit Multiplication and Division Parts 1 through 5.

B Math Explanations shows examples from many different classrooms interspersed with explanations by me of main aspects of the research-based Children’s Math Worlds approaches to each topic. [45 minutes]

Part 1 Multidigit Addition shows the research-based mathematically-desirable and accessible written methods developed in the Children’s Math Worlds Project (New Groups Below and Show All Subtotals) and the drawings that support meaning-making for students. [9 minutes]

Part 2 Multidigit Subtraction shows the research-based mathematically-desirable and accessible written method developed in the Children’s Math Worlds Project (First Ungroup Everywhere Needed) and the drawings that support meaning-making for students. [4 minutes]

Part 3 Word Problems shows the sense-making about word problem situations as students use their own math drawings, special Children’s Math Worlds math drawings, and equations to represent and then solve the situation. [7 minutes]

Part 4 Single-Digit Multiplication and Division describes the three important aspects of learning multiplications and divisions: finding patterns for each number, real-world situations, and sustained well-organized practice. [11 minutes]

Part 5 Multidigit Multiplication shows the four research-based mathematically-desirable and accessible written methods developed in the Children’s Math Worlds Project and the math drawings that support meaning-making for students. [8.5 minutes]

Part 6 Fractions describes how unit fractions and length models work to support sense-making about equivalent fractions and addition, subtraction, and multiplication of fractions. [5 minutes]

Classroom videos showing these topics are in C Longer Classroom Teaching Examples except for Part 4 Single-Digit Multiplication and Division, whose videos are in F G3 Single-digit Multiplication and Division Parts 1 through 5.

Part 1

Part 2

Part 3

Part 4

Part 5

Part 6