This paper investigates the phenomenon of compartmentalisation of knowledge in the teaching and learning of continuous probability distributions and integral calculus at the secondary-tertiary transition in France. Using the Anthropological Theory of the Didactic (ATD), and in particular the key notion of praxeology, we investigate in which sense…

An international comparative study of mathematics textbooks is essential in identifying trends in international mathematics education, developing textbooks and improving the quality of teaching and learning in mathematics. This study analyses and compares the contents of the probability and statistics curricula in the high school textbooks of…

As a component of the ongoing development of the mathematics curriculum in China, we compare the country's high school mathematics textbooks with those of several other countries. We base our analysis on the assumption that textbooks, as primary printed teaching resources, are key tools for interpreting educational policy. In this paper, we…

The international comparison of students' mathematics knowledge and competencies is an effective method of evaluating students' mathematics performance and developing policies to improve their achievements in mathematics. Trends in International Mathematics and Science Study (TIMSS) are among the most well-recognized international comparisons that…

The mathematics that students see in their textbooks is highly polished. The steps required to solve a problem are all clearly laid out. Thus, students are denied what could be a valuable learning experience. Often when students meet a problem that differs only slightly from the ones in the book, they are unable to proceed and afraid to "play…

North Korea is one of the most closed nations in the world. It is difficult to access information about their education system. North Korea's economic system was reorganized on July 1, 2002, as well as the education system. This change has impacted North Korea's mathematics education. With limited information on North Korean mathematics textbooks,…

Often the differences students see in science and mathematics classrooms are in perspective, approach, or application. Understanding those differences can help teachers to present a unified picture of mathematics and science to their students. In this article, the science teacher is given a glimpse of the treatment of topics shared by both…

The first part of Course III focuses on matrix algebra, graphs and functions, and combinatorics. Topics studied include: matrices and transformations, the solution of systems of linear equations, matrix multiplication, matrix inversion and a field of 2 x 2 matrices. The section on graphs and functions considers regions of the plane and…

This two-volume set is a self-help student text designed as an alternative to the standard algebra text. Each lesson is introduced by and centered around an application of the topic under discussion. For each lesson, questions are given covering the reading, testing understanding of the reading, and for discussion. Some sections contain questions…

This is part two of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system as a progressing development, and metric and non-metric relations in geometry. Chapter topics include real numbers, similar triangles, variation, non-metric…

This is volume three of a three-volume SMSG junior high school mathematics text. This volume includes the units concerned with applications of mathematics. Unit topics include: (1) what is mathematics and why you need to know it; (2) mathematics at work in science; (3) Uncle Sam as a statistician; and (4) chance. (MP)

Part of a series of four pamphlets providing problems in probability and statistics taken from real-life situations, this booklet develops probability methods through random numbers, simulations, and simple probability models, and presents the idea of scatter and residuals for analyzing complex data. The pamphlet was designed for a student having…

Topics covered in the probability chapter of the sixth unit in this SMSG series of student texts are fair and unfair games, outcomes and events, tree diagrams, and finding and estimating probability. The measurement chapter includes a discussion of length, units in the British and metric systems, perimeter, angle measure, circumference,…

The sixteen chapters of this book provide the core material for the Elements of Mathematics Program, a secondary sequence developed for highly motivated students with strong verbal abilities. The sequence is based on a functional-relational approach to mathematics teaching, and emphasizes teaching by analysis of real-life situations. This text is…

This is Part 1 of the first course in a series which focuses on building fundamental mathematical structures. The arithmetic studied in elementary school along with modular arithmetic is examined and set notation and mappings of sets are presented. Mathematical group structures are introduced. Points and numbers are related both on a line and in a…