Mathematics Textbook. Series in Japan is Now in English! Introducing Tokyo
Shoseki's. Mathematics International. (Elementary School, Grades 1 to 6).
The Most Widely Used Mathematics Textbook Series in Japan is Now in English!
Introducing Tokyo Shoseki’s Mathematics International (Elementary School, Grades 1 to 6)
and
Mathematics International (Lower Secondary School, Grades 7 to 9)
Learn how Japanese teachers develop deep mathematical understanding – for both themselves and their students!
A peek inside Tokyo Shoseki’s Mathematics International, Grades 1 to 6
Designed to promote Teaching Through Problem Solving (TTPS). New mathematics concepts are introduced in the context of story problems. Students are encouraged to solve problems, present and explain their ideas, understand different solution strategies, and identify and generate key mathematical ideas. TTPS develops students’ mathematical dispositions, habits and practices while they learn new content.
Grade
Grade
6
2
Poin t
Representational models are used to help students understand the structure of the problem and to enable them to construct mathematical equations for solving problems. 1
Grade
5
Poin t
Different solution methods help students understand multiple ways to solve problems while presenting opportunities for them to discuss their ideas.
Grade
4
Poin t
Poin t
Algorithms are introduced with diagrams and pictures to help students understand the calculation process conceptually.
The characters provide helpful hints and highlight important points students need to notice.
2
A peek inside Tokyo Shoseki’s Mathematics International, Grades 7 to 9
Designed to promote Teaching Through Problem Solving (TTPS). New mathematics concepts are introduced in the context of story problems. Students are encouraged to solve problems, present and explain their ideas, understand different solution strategies, and identify and generate key mathematical ideas. TTPS develops students’ mathematical dispositions, habits and practices while they learn new content.
Grade
8
Poin t
The characters provide helpful hints and highlight important points students need to notice.
Students are pushed to apply prior learning to the new problem. New idea: represent a relationship among quantities using 2 variables Students recognize the simplicity of using 2 variables to represent a relationship. Later, students will learn how to solve systems of equations.
3
Poin t
Poin t
Through mathematical activities, students practice mathematical reasoning and develop formulas with understanding.
Students learn proof in order to develop their mathematical and logical thinking.
Grade
Grade
7
8
Grade
7
Poin t
Students have learned to draw geometric figures using graph paper, set-squares, protractors, and compasses in the elementary grades. In grades 7 to 9, students learn formal geometric construction. Constructions heighten students’ interest in geometric figures, build their intuition, and help students think about figures more deeply. Constructions also facilitate students’ mathematical thinking and logical reasoning—the bases of formal reasoning and proof.
4
Other Feature of Mathematics International A detailed guide helps students improve their note-taking, which improves their communication skills.
Grade
4
Poin t
Grade
7
Students learn to record their own thinking, their friends’ thinking, and the mathematical ideas they learned in their notebooks. Students also learn to write their own reflection of their learning. Notebooks are utilized for their future learning.
Grade
9
Poin t
Exemplary solutions are often shown in notebook page format so the students can learn how to express their solutions in their notebook. 5
Table of Contents Grade
1
Grade
2
Grade
3
1 Making Groups and Numbers
1 Tables and Graphs
1 Multiplication
2 Ordinal Numbers
2 Time and Elapsed Time
2 How to Find Time and Elapsed Time
3 Two Numbers Together
3 Addition Algorithm
3 Division
4 Addition Together and Adding More
4 Subtraction Algorithm
4 Circles and Spheres
5 What Is Left and What Is Difference?
5 Units of Length
5 Addition and Subtraction Algorithms
6 Numbers Greater Than 10
6 3-Digit Numbers
6 Mental Calculation
7 Time — hour and half-hour
7 Units of Capacity of Water
7 Division with Remainders
8 How Many Flowers Are in Bloom?
8 Better Ways to Calculate
8 Structure of Large Numbers
9 Which One Is Longer?
9 Addition and Subtraction Algorithms
9 Multiplication Algorithm (1)
10 Calculation of Three Numbers
10 Triangles and Quadrilaterals
10 Division with Large Numbers
11 Which One Has More?
11 Fractions
11 How to Measure the Length of Long Objects
12 Addition
12 Multiplication (1)
12 Decimal Numbers
13 Playing with Shapes
13 Multiplication (2)
13 Triangles
14 Subtraction
14 4-Digit Numbers
14 Fractions
15 Which One Takes Up More Space?
15 Units of Length of Long Objects
15 Math Sentence Using □
16 Numbers Greater Than 20
16 Addition and Subtraction
16 Multiplication Algorithm (2)
17 Time — hours and minutes
17 Shapes of Boxes
17 Bar Graphs and Tables
18 Let’s Use Diagram
18 Measurement Units of Weight and How to Measure
19 Making Shapes
19 Abacus
Grade
4
Grade
5
Grade
6
1 Structure of Large Numbers
1 Whole Numbers and Decimal Numbers
1 Area of Circles
2 Size of Angles
2 Volume of Cubes and Cuboids
2 Letters and Math Sentences
3 Division Algorithm (1) — 1-digit Divisors
3 Multiplication of Decimal Numbers
3 Multiplication of Fractions
4 Perpendicular / Parallel Lines and Quadrilaterals
4 Division of Decimal Numbers
4 Division of Fractions
5 Broken Line Graphs
5 Congruent Shapes
5 Symmetric Figures
6 Abacus
6 Even and Odd Numbers, Multiplies and Factors
6 Ratios and Values of Ratios
7 Structure of Decimal Numbers
7 Per Unit Quantity
7 Enlarged and Reduced Drawings
8 Division Algorithm (2) — 2-Digit Divisors
8 Fractions and Decimal Numbers
8 Speed
9 How to Organize Data
9 Angles of Geometric Figures
9 Volume of Prisms and Cylinders
10 Properties of Operations
10 Addition and Subtraction of Fractions
10 Approximate Area
11 How to Measure and Express Area
11 Area of Quadrilaterals
11 Direct and Inverse Proportional Relationships
12 Fractions
12 Percentage and Graphs
12 How to Analyze Data
13 Investigating Changes
13 Regular Polygons and Length Around Circles
13 Number of Cases
14 Approximate Numbers
14 Multiplication and Division of Fractions
14 The System of Units of Measurement
15 Multiplication and Division of Decimal Numbers
15 Prisms and Cylinders
16 Cubes and Cuboics
Grade
7
Grade
8
Grade
9
1 Positive and Negative Numbers
1 Calculations with Algebraic Expressions
1 Polynomials
2 Letters in Algebraic Expressions
2 Systems of Equations
2 Square Roots
3 Equations
3 Linear Functions
3 Quadraic Equations
4 Direct and Inverse Proportions
4 Parallelism and Congruence
4 The Function y = ax2
5 Plane Figures
5 Triangles and Quadrilaterals
5 Similar Geometric Figures
6 Spatial Figures
6 Probability
6 The Pythagorean Theorem
7 Variation in Data and Representative Values
7 Circles 8 Sampling
6
What research says: “American students and teachers are greatly disadvantaged by our country’s lack of a common, coherent curriculum and the texts, materials and training that match it.” -Schmidt, W.H., Houang, R.T., and Cogan, L.S. (2002) A coherent curriculum: A case of mathematics, American Educator (http://www.aft.org/pubs-reports/american_educator/summer2002/index.html)
The high performance of Japanese students in international mathematics assessments has been highlighted by the Trends in International Mathematics and Science Study (TIMSS) in 1995, 1999, 2003, 2011, Explanations for their high performance have included student-centered, problem solving lessons, a focused and rigorous curriculum and textbooks, and teacher content knowledge, which have prompted some researchers to recommend the development of focused and coherent curricula for improving teachers’ content and pedagogical knowledge and student learning in the U.S. Now, teachers outside of Japan can finally see for themselves how Japanese teachers develop dynamic lessons and deep mathematical understanding with the English publication of the most widely used textbook in Japan, Tokyo Shoseki’s Mathematics International (elementary school grades 1 to 6 and lower secondary grades 7 to 9)!
These textbooks: Were written by Japanese mathematics educators, mathematicians, and accomplished Lesson Study practitioners Introduce a limited number of topics each year Go beyond procedural to conceptual understanding Help teachers and students understand how lessons develop concepts within and across grade levels Are an invaluable resource of high-quality mathematical content and pedagogy, especially when studied as an entire set (grades 1 to 6 or grades 1 to 9)
They are must-have resources for: teacher and Lesson Study groups
teacher educators and pre-service teachers
professional developers
after-school and enrichment providers
supervisors, coaches, and facilitators
home schoolers
researchers and curriculum developers
“The books are a tremendous resource for teachers, no matter what curriculum you use, to enhance mathematical and pedagogical understanding. They provide U.S. mathematics Lesson Study communities with the same resources Japanese teachers have used for many years.” -Bill Jackson, Mathematics Staff Developer, Franklin Lakes Public Schools Tokyo Shoseki’s information
TOKYO SHOSEKI
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