The study aimed to establish an assessment model for mathematics teachers' knowledge of students' misconceptions in the "Space and Shape" domain, develop the testing tool, investigate and analyse the overall and differences in performance, and propose suggestions for improvement. The assessment model included content knowledge and…

Determining what students know and understand, as well as what misconceptions they have, is essential to planning and providing targeted intervention and support. In this article, a teacher uses formative assessment interviews to uncover evidence of students' understandings and to plan targeted instruction in a mathematics intervention class. The…

The purpose of this study was to investigate pre-service teachers' knowledge of content and students vis-à-vis their ability to anticipate, identify and clear high school students' misconceptions about inverse and composite functions. To accomplish this goal a case study research design was used to examine one fourth year mathematics education…

This article describes a carefully structured exploration of formative assessment, conducted in the form of a classroom research experiment. The authors are an instructor and a student in a graduate course that assigned teachers to research formative assessment strategies, implement one or more strategies for several weeks, collect data from…

In this article, the author asserts that asking and responding to diagnostic questions is the single most important part of teaching secondary school mathematics. He notes the importance of formative assessment and recommends a formative assessment strategy that requires students to be public about their answers to questions, displaying their…

Rational number concepts underpin many topics in advanced mathematics and understanding these concepts is a prerequisite for students' success in high-school level courses. Students with rational number misconceptions that are not diagnosed and remediated in the middle grades are likely to encounter difficulty in high-school mathematics courses.…

When students are asked to write original story problems about fractional amounts, it can illustrate their misunderstandings about fractions. Think about the situations students would describe to model 1/2 + 2/3. Three elements, in particular, challenge students: (1) Which of three models (region, or area; measure; or set) is best suited for a…

Students who study algebra are more likely to attend college than those who don't. A major hurdle for students in studying algebra is the transition from arithmetic to algebra. In response to overcoming this hurdle, the College Board and Educational Testing Service has developed "Algebridge," a teaching supplement that integrates…

Ninth-grade students' (n=90) responses to impromptu, in-class writing assignments were examined to evaluate students' understanding of mathematical concepts. Participating teachers benefited by seeing how students' writings may reveal misconceptions concerning mathematical concepts, skills, and generalizations. (MDH)

This volume of the 27th International Group for the Psychology of Mathematics Education Conference includes the following research reports: (1) Improving Decimal Number Conception by Transfer from Fractions to Decimals (Irita Peled and Juhaina Awawdy Shahbari); (2) The Development of Student Teachers' Efficacy Beliefs in Mathematics during…

This is a record of the proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of the conference is "Mathematics: Essential research, essential practice." The theme draws attention to the importance of developing and maintaining links between research and practice and…