This article presents a problem set which includes a selection of probability problems. Probability theory started essentially as an empirical science and developed on the mathematical side later. The problems featured in this article demonstrate diversity of ideas and different concepts of probability, in particular, they refer to Laplace and…

This study evaluated a bilingual intervention in the key learning area of mathematics. Nine typically developing Samoan-English students received math lessons in both Samoan and English. A control group of Samoan-English students received all lessons in English. The material covered and the amount of instruction was the same for each group. The…

Australian students from disadvantaged contexts who speak English as a second language (ESL) are at risk of being developmentally vulnerable when compared to their peers (Gonski et al., 2011). This article presents selected findings from a large-scale longitudinal study designed specifically for young students in disadvantaged contexts. It reports…

Chris Brough and Nigel Calder share two scenarios in which students co-constructed their curriculum through generating their own problem solving and mathematical investigations. This article is a valuable exploration of the benefits of teachers working in partnership with their students.

Research Findings: Shared book reading provides a meaningful context for rich conversations to occur between a child and an adult and offers opportunities for children to be exposed to a range of vocabulary and concepts that often extend beyond their everyday experiences. Few studies have examined parent-child shared book reading as a context for…

Common Core State Standards for Mathematics (CCSSM) is different from the objectives that many teachers have previously experienced in their state frameworks. Although the mathematical topics of the two may be the same, the mathematical expectations within the Standards require a deeper understanding by teachers and students. In this article, the…

By working through well-designed tasks, students can expand their thinking about mathematical ideas and their approaches to solving mathematical problems. They can come to see the value of looking at tasks from different perspectives and of using different representations. This article discusses four tasks that encourage high school students and…

The purpose of this study was to investigate the nature of preservice mathematics teachers' understanding of inequalities. The design of the study was a multi-case study of secondary mathematics education preservice teachers with a focus on their understanding and the lessons that they plan and implement. Data from individual interviews,…

The purpose of this study was to assess student knowledge of numeric, visual and algebraic representations. A definite gap between arithmetic and algebra has been documented in the research. The researchers' goal was to identify a link between the two. Using four "Guess My Number" problems, seventh and tenth grade students were asked to write…

The purpose of this study was to determine the metaphors used by students to describe mathematical problem solving. This study focused on identifying how students interpret and perceive mathematical problem solving via conceptual metaphors (Lakoff and Johnson, 2003). These perceptions and interpretations were coded and analyzed qualitatively and…

This paper reports on the use of lesson study as a professional development tool. In particular the paper focuses on the way in which the teachers increased their understanding of how tasks, classroom activity and teacher actions scaffolded student learning of early algebraic reasoning of equivalence and the commutative principle. Teacher voice is…

The purpose of this study was to investigate the relationship between instructional design and classroom discourse as implemented by a mathematics teacher. The instructional design in this study distinguished three different types of discussions--framing, conceptual, and application--based on their sequential position, their purpose, the…

Can prospective elementary teachers "unlearn" harmful algorithms used with fractions as they are invited to develop fraction number sense? This study examined the development of prospective elementary teachers' fraction number sense during an intermediate (grades 5-8) mathematics methods course. During this course, participants' were involved in a…

Many students at all levels--from middle school to graduate programs for in-service teachers--struggle with visualizing three-dimensional shapes. Many also are challenged to locate appropriate centers of rotation, placement of lines of symmetry, and translation vectors for transformations on the plane. Hands-on experience helps with these…

Mathematics education--like all education--faced changes in recent years including increasing expectations, and these expectations have impacted all students, including students with mild intellectual disability. To explore the impact of the changes on mathematics education on students with mild intellectual disability, the authors reviewed the…