Twenty-six structural variables were defined and investigated using a set of algebraic word problems solved by 96 college students. The study attempted to identify a small independent well-defined set of arithmetic, linguistic, and algebraic structural variables which account for a maximum amount of the variance of the observed probability correct…

The aim of this report is to suggest aspects of mathematics education that should be incorporated into curricula rather than to outline specific courses of study. General recommendations are made regarding curriculum, instructional methods, and textbooks. The suggestion that graphs and relations to be used as a unifying theme is followed by…

The purpose of this study was to confirm or deny Carry's findings in an earlier Aptitude Treatment Interaction (ATI) study by implementing his suggestions to: (1) revise instructional treatments, (2) improve the criterion measures, (3) use four predictor tests, (4) add time to criterion measure, and (5) use a theoretical model to identify relevant…

This is the second volume of a series produced by the State Education Department of the University of the State of New York. Mathematics objectives and sample items included were originally developed by four local school districts and are not intended to be official or comprehensive, but an aid to teachers in constructing curricula and making…

This is the third volume of a series produced by the New York State Education Department. Originally developed by four local school districts, the mathematics objectives and sample items included were not intended to be official or comprehensive but rather to be used as an aid to teachers in constructing curricula and in making classroom goals…

This is volume five of a series produced by the New York State Education Department. Originally developed by four local school districts, the mathematics objectives and sample items are not intended to be official or comprehensive, but to be an aid to teachers in constructing curricula and in making classroom goals clear and precise. The document…

This eleventh unit in the SMSG secondary school mathematics series is the teacher's commentary for Unit 9. First a general overview of the entire FIRST COURSE IN ALGEBRA (Units 9 and 10) is provided. Then, a time allotment for each of the chapters in Unit 9 is suggested. For each of the chapters in Unit 9, the goals for that chapter are discussed,…

This twelfth unit in the SMSG secondary school mathematics series is the teacher's commentary for Unit 10. For each of the chapters in Unit 10 the goals for that chapter are discussed, the mathematics is explained, some teaching suggestions are provided, the answers to exercises are listed, and sample test questions for that chapter are suggested.…

Growth functions involved in mathematical models for biological development are discussed using the algebra of polynomials and matrices. (SD)

A computer program developed by a high school student approximates the value of "e" by computing partial sums of the defining series. (SD)

Identifying the larger (L), smaller (S) and difference (D) of two real numbers, and then selecting the appropriate relationship between L, D, and S can help students solve algebra word problems. (SD)

Results of operations on the Pythagorean formula are interpreted pictorially to yield interesting art forms. (MP)

A coordinate system is imposed on a geoboard to form a table that leads to the discovery of the formula n[(n+1)(n+1)] (n+2)/12. Proof is by induction. (MP)

The operation of rounding is shown to lead into an investigation of an abstract mathematical system. Properties of the system are discussed and graphs of the rounding function are drawn. Some questions for discussion are given. (MP)

The author attempts to provide in compact form information to correct problems related to "frieze groups" and "wall paper groups" and, in addition, provide useful visual references for readers of the literature on the plane symmetry groups. (MN)