The purpose of the study is to enumerate the representations in high school geometry, to narrow the focus to the most common ones, and to describe how the common representations are coordinated. To achieve this purpose, I analyzed several sections of a popular geometry textbook using thematic analysis, semiotics, and a pragmatic approach to…

In this paper, the authors present results of their pilot research on nonverbal elements' perception. They pay attention to a not yet well established system of evaluation in mathematics textbooks from the perspective of nonverbal elements and sum up their findings from pilot researches on pupils' operations with nonverbal elements. Pilot surveys…

Description: Effective with the 2014/15 school year, Mississippi adopted new academic standards and courses aligned to these new standards. The new courses included both a subject-specific mathematics sequence (that is, algebra I, geometry, and algebra II) as well as an integrated mathematics sequence (that is, integrated I, integrated II, and…

Patterns are commonly used in middle years mathematics classrooms to teach students about functions and modelling with tables, graphs, and equations. Grade 6 students are expected to, "continue and create sequences involving whole numbers, fractions and decimals," and "describe the rule used to create the sequence." (Australian…

Presents an extension of Pick's theorem for simple closed polygonal regions to unions of simple closed polygonal regions. Students are guided to discover Pick's theorem from sets of data including numbers of boundary points and numbers of interior points. (Author/MKR)

The National Assessment of Educational Progress (NAEP) provides data about what children know and can do with the goal of using this information to improve education. This book contains interpretive reports based on results from the mathematics assessments conducted by the NAEP regarding: (1) the cognitive performance of students at grades 4, 8,…

Presents a team-oriented student activity designed to introduce trigonometric ratios and applications of selected trigonometric functions by constructing tables of values. Can be used at the middle school level. (MKR)

Presents activities where students visualize three dimensional figures, construct tables, discover patterns in the tables, and use the patterns to make predictions. (PK)

This study was conducted to determine whether young children, given the experience of Logo programming, would acquire problem-solving skills and be able to transfer those skills to other areas. The study also investigated Logo's effectiveness in teaching certain fundamental geometric concepts to children who were supposedly not developmentally…