This resource book of metric lessons was prepared by the Metric Systems Class at the University of North Dakota. Length, area, volume and capacity, mass and weight and temperature are developed through techniques such as puzzles, manipulative devices, and experiments. Activities are described in terms of materials needed, directions, and follow-up…

This study examines the effects of using different classes of ratios on adolescent performance on proportionality problems. Problems of the form a/b = c/x varied on four dimensions: size of a/b, equality or inequality of b and c, complex or simple fractions, and form of the test. Tests consisted of six proportionality problems involving sizes of…

The purpose of this study was to determine the effect of an instructional sequence on the higher-level questioning behavior of a group of secondary mathematics teachers. Major hypotheses were: (1) as a result of the instruction the teachers would show an increase in classroom use of the higher-level questions; (2) student participation in class…

Eighth-grade subjects, classified as formal or concrete operational, learned a mathematical group structure with either a pre-determined sequence of trials (Reception Mode) or a free choice of trials (Selection Mode). All subjects learned a similar group structure one week later in the Selection Mode. Formal subjects learned in fewer trials and…

This pamphlet introduces the student to the basic ideas and procedures of transformational geometry through a series of worksheets. After developing intuitively the idea of rigid motion, vector diagrams are introduced, and translations are discussed in some detail. (SD)

The purpose of this study was to determine whether the use of mathematics laboratories at the eighth grade level results in greater mathematics achievement and whether students prefer mathematics laboratories to other methods of presentation. Six classes totalling 146 eighth grade students were assigned a pre-lab approach, a post-lab approach, or…

Three learning models (adaptive mastery, typical mastery, and traditional non-mastery learning models) which employed different criteria for terminating computer-based practice in order to determine mastery or non-mastery of arithmetic skills were compared. The efficiency of two different sequencing arrangements (mixed and clustered) of practice…

The sixteen chapters of this book provide the core material for the Elements of ERIC/SMEAC, The Ohio State University, 400 Lincoln Tower, Columbus, Ohio 43210 (on loan) 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…

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…

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…

One of 12 books developed for use with the core material (Book O) of the Elements of Mathematics Program, this text covers material well beyond the scope of the usual secondary mathematics sequences. These materials are designed for highly motivated students with strong verbal abilities; mathematical theories and ideas are developed through…

This manual was designed for use with the first of five texts in the Secondary School Advanced Mathematics (SSAM) series. Developed for students who have completed the Secondary School Mathematics (SSM) program and wish to continue their studies in mathematics, this series is designed to review, strengthen, and fill gaps in the material covered in…

This manual was designed for use with the third of five texts in the Secondary School Advanced Mathematics (SSAM) series. Developed for students who have completed the Secondary School Mathematics (SSM) program and wish to continue their studies in mathematics, this series is designed to review, strengthen, and fill gaps in the material covered in…

This manual was designed for use with the last of five texts in the Secondary School Advanced Mathematics (SSAM) series. Developed for students who have completed the Secondary School Mathematics (SSM) program and wish to continue their studies in mathematics, this series is designed to review, strengthen, and fill gaps in the material covered in…

This is one of a series of reports on the National Longitudinal Study of Mathematical Abilities. These volumes contain most of the test batteries which were administered to students who were seventh graders at the start of the study in the Fall of 1962. These students comprised the Y-Population. For the most part, the tests have been reproduced…