Probability is a difficult concept, which is not always taught accurately. This study aims to clarify how experimental and theoretical probabilities are taught in Japanese 7th and 8th grades through a textbook analysis. We analyzed seven, government approved Japanese 7th and 8th grade textbooks each. Focusing on the definition and explanation of…

This study aims to reveal the teaching script and structure of lesson practice of two seventh-grade Japanese mathematics teachers--a "novice" and "expert"--through comparative analysis of mathematics lessons. Specifically, it aims to clarify how the teachers' views of teaching as tacit knowledge determine lesson structure and…

Preparation is an effective and necessary activity; however, most students do not prepare for future lessons. The present study addressed this problem and examined how learners' motives, beliefs, and perceptions affected their strategy use during preparation for future lessons. Participants were 219 Japanese junior high school students who…

While representations of 3D shapes are used in the teaching of geometry in lower secondary school, it is known that such representations can provide difficulties for students. In this paper, we report findings from a classroom experiment in which Grade 7 students (aged 12-13) tackled a problem in 3D geometry that was, for them, quite challenging.…

Calls to advance students' ability to engage in mathematical reasoning practices including conjecturing, generalising and justifying (CGJ) place significant new demands on teachers. This case study examines how Mathematics Studio provided opportunities for a team of U.S. middle school teachers to learn about these practices and ways to promote…

The effects of verbal mnemonics on mathematics achievement were investigated using 100 Japanese seventh graders. All students received 10 weeks of mathematics instruction, but the experimental subjects were taught with the aid of verbal rhymes. Significant differences favoring experimental subjects were found on both the immediate and delayed…

This study is to explore the potential of Fauconnier's mental space theory in understanding the teaching and learning processes of mathematics. Notions from cognitive linguistics have been introduced to research in mathematics education recently, but there have been little studies about what potential the framework of mental space has in…

This brief report compares the lessons on addition and subtraction of signed whole numbers in three seventh-grade Japanese mathematics texts and four U.S. mathematics texts. Japanese books contained many more worked-out examples and relevant illustrations, while U.S. books had more irrelevant illustrations and unsolved problems. (SLD)