The transition from school to tertiary study of mathematics comes under increasing scrutiny in research. This article reports on some findings from a project analysing the transition from secondary to tertiary education in mathematics. One key variable in this transition is the teacher or lecturer. This article deals with a small part of the data…

Students have difficulty learning fractions, and problems in understanding fractions persist into adulthood, with moderate to severe consequences for everyday and occupational decision-making. Remediation of student misconceptions is hampered by deficiencies in teachers' knowledge of the discipline and pedagogical content knowledge. We theorized…

This article gives an overview of the state of mathematics education in Argentina across all levels, in the regional and world contexts. Statistics are drawn from Mercosur and UNESCO data bases, World Education Indicators and various national time-series government reports. Mathematics results in national testing programmes, Programme for…

This document contains curriculum strands for senior mathematics which were built on five interrelated curriculum foundations: mathematical reasoning, technology, connections, communication, and mental mathematics. An introduction discusses each of these foundations in addition to the course description, mathematics strands, instructional…

This book focuses on curricular issues involved in preparing students for taking the SAT I--Reasoning Test using a problem-solving focus. There is a particular philosophy with which this book is presented. First, the illustrations have been selected to demonstrate in dramatic form the power of the procedure presented. Second, the problems both in…

This book is designed to prepare students for taking the SAT I--Reasoning Test using a problem-solving focus. It clarifies the purpose, structure, and use of the SAT I and provides meaningful instructional material and explanations which illuminate the necessary skills. The book begins with a review of essential fundamentals, including useful…

Technically incorrect, but common usage of mathematical terms is discussed. The reasons for the author's dislike or acceptance of various phrases are presented. (SD)

An "up-to-date" application of algebraic techniques is described. The authors suggest that many such applications can be derived from newspapers and other sources. (SD)

Methods of determining probabilities of various outcomes of the game Yahtzee are described. (SD)

A game modelled on football can be used to provide students with practice in solving algebraic equations. (SD)

A method of summing finite sequences by use of formal power series techniques is described. (SD)

This article presented some of the research on learning processes and illustrated how different modes of thinking can be applied in teaching some topics in secondary mathematics. (Author/RK)

Common strategies for teaching proofs are discussed. Prerequisite behaviors, components of a learning hierarchy, are expressed in behavioral terms. The six categories are knowledge about logic, knowledge about the components of a deductive system, knowledge about proof strategies, knowledge of proof formats, proof completion, and generalization.…