This paper compares sections on functions and linear functions from two Korean textbooks and an American standards-based textbook (University of Chicago School Mathematics Project [UCSMP] Algebra) to understand differences and similarities among these textbooks through horizontal and vertical analyses. We found that these textbooks provide…

In this study, we investigated to what extent arithmetic ability and self-regulated learning skills in the beginning of lower secondary school predicts measures of students' performance in mathematics at the end of lower secondary school. Arithmetic ability and self-regulated learning skills were tested the first two weeks in lower secondary…

This article analyses aspects of the process of developing "functional" assessments of mathematics at the end of compulsory schooling in England. A protocol that was developed for scrutinising assessment items is presented. This protocol includes an indicator of the "authenticity" of each assessment item. The data are drawn…

Based on data released December 3, 2013, from the Programme for International Student Assessment (PISA), this Alliance for Excellent Education report reveals that the United States struggles to produce top performers in reading, math, and science at the rates of its international peers. These students, who the report calls the "deepest…

Cognitive development of any concept is related with affective development. The present study investigates students' beliefs about the use of different types of representation in understanding the concept of fractions and their self-efficacy beliefs about their ability to transfer information between different types of representation, in relation…

This document presents the proceedings of the 20th Annual Research Forum held June 25, 2015, at Wake Forest University in Winston-Salem, North Carolina. Included are the following 21 action research papers: (1) History Lives! The Use of Simulations in a High School Social Studies Classroom (Lydia Adkins); (2) Using Francophone Music in the High…

The Program for International Student Assessment (PISA) is an international assessment that measures the performance of 15-year-olds in reading literacy, mathematics literacy, and science literacy. Coordinated by the Organization for Economic Cooperation and Development (OECD), an intergovernmental organization of 34 member countries, PISA was…

Jinfa Cai's study comparing Chinese and American sixth-grade students' mathematics performance found that American students did better on simple and complex problems than on computation. One reason might be Asian countries' stress on rote learning. Paul George's 1995 monograph "Japanese Schools: A Closer Look" found instruction…

Details are provided about the American High School Mathematics Examination (AHSME), the American Invitational Mathematics Examination (AIME), and the USA Mathematical Olympiad (USAMO). The AIME will first be offered in 1983 as an intermediate examination between the AHSME and the USAMO. An appendix provides several sample problems. (MP)

Focuses on the effects of the application of two problem-solving techniques--metacognitive and heuristic--on the achievement of students in the computation of creative mathematics problems. Results indicate that there was a significant difference in the achievement of experimental and control groups. Contains 24 references. (Author/ASK)

This is the final test for students in the twelfth-grade course Mathematics 30, offered in schools in Alberta, Canada. It contains 52 multiple-choice questions and five written-response problems, with two-and-one-half hours allowed for completion. Approved calculators may be used. Scoring is done by the provincial education department. (RH)

Annual mathematics talent searches for 12-year-old students were conducted in Hamburg, West Germany. One-hundred-fifty students took part in a long-term Saturday enrichment program to train them in problem finding and problem solving. The philosophy of this program is explained and illustrated with preliminary data. (MNS)

Presents an overview and discussion of some results of research on the use of graphing calculators organized into the following categories: (1) achievement studies, (2) conceptual understanding, (3) problem solving, (4) classroom dynamics, and (5) future research needed. (29 references) (MKR)

The objective of this study was to evaluate the effectiveness of the "Groups of Four" program, examining the impact of the cooperative learning strategy on students' achievement in mathematical problem solving. Effects of three specific independent variables in the program were examined in terms of gender, group assignment, and ability,…

Discusses four examples of beliefs held by secondary school mathematics students. Suggests implications for classroom teaching. Eight references are listed. (YP)