In the study reported on here I evaluated the alignment between the Annual National Assessment (ANA) and Trends in International Mathematics and Science Study (TIMSS). Theoretical perspectives were drawn from the Survey Enacted Curriculum (SEC), while quantitative correlational methods were used to determine the alignment between ANA and TIMSS…

Fifteen elementary and secondary teacher candidates solved sixteen integer addition and subtraction problems during think-aloud interviews. Investigators further probed participants' solution strategies as well as what they noticed first when starting a new problem. Task analyses of participants' solutions led to the creation of two distinct maps…

The problem of placing stamps on a grid is presented, with variable forms of the problem and various levels of the solution described. (MNS)

This book contains a set of versatile enrichment exercises that cover a very broad range of mathematical topics and applications in pre-algebra from the Moebius strip to the googol. Several criteria have been used in developing the activities and selecting the topics that are included. All of them bear heavily and equally on concerns for…

License plates are used to give students experiences in solving problems, following directions, developing numeracy, and writing number sentences. Four activities for different levels are given on the four worksheets. (MNS)

Three games in which the calculator plays an important facilitating role are presented. It promotes a "guess then adjust your guess" strategy. The games are described within the context of elementary, junior high, and secondary classrooms. (MNS)

This book contains a set of versatile enrichment exercises that cover a very broad range of mathematical topics and applications in algebra from the Moebius strip to the googol. Several criteria have been used in developing the activities and selecting the topics that are included. All of them bear heavily and equally on concerns for curriculum…

Methods of finding algebraic expressions to fit number patterns are explored. (DT)

Problems focusing on number theory that can make good use of the calculator in discovering and proving simple theorems are proposed. The focus is on the properties of subtracting the smaller of a three digit number and its mirror number from the larger in a process that leads to zero. (MP)

Presents three number games for mathematics classrooms designed to improve the learning of number concepts. Game topics include determining products, arranging mathematical signs, and factoring. (ASK)

Developmental and individual differences in mathematical aptitude were investigated as a function of knowledge structure and processing variables. Results indicated the relative importance of knowledge structure and strategy skills in aptitude test performance. Protocol data further elaborated the interrelationships between knowledge and process…

Helping students solve logic problems using properties of whole numbers in levels 1-6 and properties of positive and negative rational numbers in levels 7-8 is presented. Four worksheets and teaching suggestions are included. (MNS)

Thirteen research reports related to mathematics education are abstracted and critiqued in this publication. The topics of the research include counting, addition, subtraction, ratio, proportion, geometry, problem solving, and teaching strategies. Also included is an editorial comment by T. Kieren on mathematics education research. Research…

This study looked at student difficulties with fractions by focusing on understanding of part/whole relationships. The sample consisted of two sixth-grade and two eighth-grade classes. A lack of substantial improvement from sixth to eighth grade on many fraction tasks was noted and viewed as cause for concern. (MP)

The subtraction ideas presented are designed for elementary and junior high school children, yet are felt to be flexible enough to offer some challenge for high school students, particularly in algebra. (MP)