The purpose of these notes is to generalize and extend a challenging geometry problem from a mathematics competition. The notes also contain solution sketches pertaining to the problems discussed.

This study compares Malaysian and Korean geometry content in mathematics textbooks to help explain the differences that have been found consistently between the achievement levels of Malaysian and South Korean students in the Trends in International Mathematics and Science Study (TIMSS). Studies have shown that the use of textbooks can affect…

Whereas origami is said to have pedagogical benefits in geometry education, research is inclusive about its effect on spatial ability and geometric knowledge among preservice teachers. The study investigated the effect of origami instruction on these aspects using pretest posttest quasi-experiment design. The experimental group consisted of 52…

The Finnish National Board of Education has been publishing guidelines for the evaluation of student learning in the comprehensive school since the 1970s. This evaluation is two-fold: 1) during school it guides and supports students along their academic paths and 2) at the conclusion of the comprehensive school it expresses each student's level of…

We propose the development of a "population" of high-quality assessment tasks that cover the performance goals set out in the "Common Core State Standards for Mathematics." The population will be published. Tests are drawn from this population as a structured random sample guided by a "balancing algorithm."

This retrospective quantitative study examined the relationship between visual-spatial reasoning abilities, as measured by the matrix reasoning and block design subtests of the Wechsler Intelligence Scale for Children-Fourth Edition (WISC-IV), and geometry and math performance, as measured by geometry and overall math scores from the Massachusetts…

Examines secondary school students' ability to interpret representations of three-dimensional objects including prototypes of component, perspective drawings, orthogonal views, descriptions by coordinates, verbal descriptions, and verbal quasi-descriptions. Students were given four identical wooden cubes and asked to construct the objects. Reports…

Representative samples of fourth- and eighth-grade public school students from 21 urban districts participated in the 2011 National Assessment of Educational Progress (NAEP) in mathematics. Eighteen of the districts participating in the 2011 NAEP Trial Urban District Assessment (TUDA) participated in earlier assessment years, while three districts…

Possible ways of mechanization for counting using a binary system are discussed. Shows a binary representation of the numbers and geometric models having eight triples of lamps. Provides three problem sets. (YP)

This booklet contains 11 modules (290 multiple-choice items) designed for use in the first course of a three-course calculus sequence using the textbook "Calculus with Analytic Geometry" (Dennis G. Zill). In each module, relevant sections of the textbook are identified for users. It can, however, be used in conjunction with any calculus textbook.…

Explores the relationship between high school students' beliefs about mathematics and their mathematical performance. Reports: (1) the students' attributions of success or failure; (2) perceptions of mathematics; (3) comparative views of school mathematics, English and social studies; (4) motivation; and (5) personal performance. A questionnaire…

This is the position statement of the National Council of Supervisors of Mathematics describing the essential mathematical competencies that citizens will need to begin adulthood in the twenty-first century. Twelve components of essential mathematics, the learning environment, technology, evaluation, and extension of the essentials are described.…

The purpose of this game, intended for grades 7-9, is to enable students to have fun and enjoy mathematics while learning and reinforcing: (1) mathematical concepts and applications; (2) mathematical computations; (3) geometry; and (4) mathematics for daily living. A gameboard and 232 question/answer cards are provided. Rules for play are…

The purpose of this activity book is to provide fun while learning and reinforcing mathematics in the following categories: (1) mathematical concepts and applications; (2) mathematical computations; (3) geometry; and (4) mathematics for daily living. A gameboard and playing cards are provided in this book. A die, pawns, and a container for the…