The fact that research has shown that fractions are among the most difficult mathematical concepts for elementary school students to master (Behr, Harel, Post, & Lesh, 1992; Bezuk & Cramer, 1989; Moss & Case, 1999) provides a compelling motivation for research and innovation focused on improving the available assessment and…

In this study we take up the issue of teacher knowledge by characterising the quality of one teacher's Mathematics Knowledge for Teaching (Ball, Thames and Phelps, 2008) by examining her Pedagogical Content Knowledge (PCK) that was accessed during a Lesson Study observation in a Chinese primary school. Results show that the participant's PCK was…

This study synthesized intervention studies focusing on instruction to improve fraction skills. Seventeen studies met the inclusion criteria: being published in English-language peer-reviewed journals or dissertations between 1975 and 2014, and targeting 3rd- through 12th-grade students struggling to learn mathematics. From the "Common Core…

This paper describes a synthesis conducted to determine what research says regarding preservice teachers' understanding of fractions and identify the gaps in their existing knowledge basis. Specifically, this paper will address a smaller portion of the synthesis and report the findings from fraction multiplication and division topics. Results…

This action research study focused on how various grouping strategies influenced preservice teachers' differentiation of instruction. The participants included a third grade mentor teacher and three preservice teacher candidates. The candidate preparation curriculum consisted of seminars, daily field-based learning experiences, and ongoing…

Despite the emphasis that children should have a robust sense of number and a thorough understanding of fraction (National Mathematics Advisory Panel, 2008), many students continue to struggle with these concepts. Booker Diagnostic Assessment Framework (Booker, 2011) can inform decision about teaching that improves students' learning outcomes.…

A multilevel latent transition analysis (LTA) with a mixture IRT measurement model (MixIRTM) is described for investigating the effectiveness of an intervention. The addition of a MixIRTM to the multilevel LTA permits consideration of both potential heterogeneity in students' response to instructional intervention as well as a methodology for…

The meaning of fractions with integer multiplication is something that is difficult to understand by students. They tend to think that the product it produces a larger number, while the multiplication of fractions with integers, the result can be any number larger or smaller. This study is a research design that aims to develop a local…

This document presents the proceedings of the 23nd Annual Research Forum held June 28, 2018, at Wake Forest University in Winston-Salem, North Carolina. Included are the following 12 action research papers: (1) Standards-Based Grading in a Secondary Mathematics Classroom (Michelle Anderson); (2) How the Use of Graphic Novels in Shakespeare…

Mathematics, in general, and algebra courses, in particular, have been categorized as "gatekeepers" for higher education, better jobs, and even citizenship. For many low-income and working adults, community college is the institution where they choose to develop their mathematics understanding so they can pursue their dreams.…

This research study, carried out in South Africa and the United States of America, investigated issues that may hamper prospective primary school teachers from writing acceptable problem posing scenarios involving the addition of fractions. Pre-service teachers (n=44) were asked to compose real life problems involving the addition of two fractions…

Early math skills are the strongest predictors of later math achievement in school. This two-wave study addressed three research questions about the role of families in fostering these skills in preschool-aged children. First, how do families talk about math at home? Second, how do these conversations vary across families with different…

This study investigates the effect of materials developed based on conceptual change approach on 9th grade students'achievement in the subject of fractions. With this aim, a worksheet, conceptual change text and a two-stage performance test on the subject of fractions were developed. Quasi-experimental research model was used in the study.…