The author showcases a number of readily available and affordable resources that may be used in mathematics classrooms to provide students with concrete learning experiences. Resources, alone, do not provide educational experiences unless they are accompanied by appropriate teaching to ensure rich and connected learning experiences.

In this article the authors overview how the recently revised (version 9) Australian Curriculum (Australian Curriculum Assessment and Reporting Authority, 2022) and student difficulties with fractions relate to five developmental Fraction Schemes developed from multiple research projects in the literature. The article shares research findings from…

Students' construction, coordination, and abstraction of units underlie success across multiple mathematics domains. Structures for coordinating units underscore notions of numbers as composite units (e.g., five is a unit of five and five units of one). In this working group, we seek to facilitate collaboration amongst researchers and educators…

This compendium organizes information on the math and science projects sponsored by NCER and NCSER into two main sections: Mathematics and Science. Within each section, projects are sorted into chapters based on content area, grade level, and intended outcome. In determining the chapters, we considered the emerging college- and career-readiness…

Work with recurring decimals provides pupils with an opportunity for exploration and examination of a wide variety of mathematical ideas and strategies. Examples of work done by one group of pupils who were presented with an opportunity to explore such decimals is featured. (MP)

This ERIC Digest overviews recent research on teaching and learning fractions and provides suggestions for practice, help in locating resources having direct application in the classroom, and sources for further reading in the literature. Students' conceptions of fractions or rational numbers, common mistakes teachers make, and new teaching…

This yearbook contains articles that give insight into students' thinking about factions, ratios, and proportions. Suggestions are offered on how to develop the concepts and skills associated with these topics. The book is divided into elementary, middle school, and professional development sections. Chapters include: (1) "The Development of…

Discussed are the problems of teaching and learning fractions in the upper primary and lower secondary schools. Recommendations for teaching fractions are made and defects in various methods of fraction instruction are identified. It is suggested that fractions not be taught in upper primary and lower secondary schools. (Author/DS)

In these two companion papers, a learning activity is introduced that teaches students how mathematics works through the visual aid of picture grids. The picture grids are composed of 60 different acrylic stained-glass window overlays. Each fractional part is represented by a different color: fifths are green, quarters are yellow, etc. The square…

This yearbook focuses on the role of technology in school mathematics. Chapters are replete with classroom-tested ideas for using technology to teach new mathematical ideas and to teach familiar mathematical ideas better. Chapters included: (1) "Using the Graphing Calculator in the Classroom: Helping Students Solve the "Unsolvable" (Eric Milou,…

Reviews software packages by providing extensive descriptions and discussions of their strengths and weaknesses. Software reviewed include (1) "VISIFROG: Vertebrate Anatomy" (grade seven-adult); (2) "Fraction Bars Computer Program" (grades three to six) and (3) four telecommunications utilities. (JN)

Student exploration at a secondary school level of fraction relationships using special graphs is described. (MP)

Provides a bibliography of children's literature exploring mathematical concepts: classification; place value and numeration systems; counting, addition, and subtraction; multiplication and division; fractions; estimation; big numbers; geometry; measurement; and games and puzzles. Highlights one book for each concept, suggests class activities,…