In this work we will analyze the relation between registers of representation and the construction of the fraction concept. Ninety-six students from first year of compulsory secondary education participated in the study, and performed equal share tasks in the context of Egyptian fractions (unit fractions with different denominators). The aim was…

Albeit the research on the ethnomathematics have extensively undertaken, little empirical evidence reports teachers' perception on the ethnomathematics approach. To fill the gap, this present case study showcases that the teachers positively perceived ethnomathematics approach. The case study design was applied in this study with a focus on an…

This study was carried out to determine the efficacy of the 6th grade mathematics curriculum implemented in 2018 in Turkey using Tyler's model of curriculum evaluation. The study used the survey model and the stratified sampling method. Schools included in the sample were divided into three levels, an "upper group", "middle…

The aim of this study is to identify the main factors that affected the process of technology integration in mathematics education. The methodological approach taken in this study is a structured grounded theory. The participants of the study included two secondary-school mathematics teachers, four students selected by the teachers, and two school…

The present study aimed to examine the relations of early numeracy activities and skills to mathematics dispositions, engagement, and achievement among 26,859 fourth graders in the United Arab Emirates who took part in the sixth cycle of the Trends in International Mathematics and Science Study (TIMSS) in 2015. The study also explored the…

This study analyses an online scenario-based instrument in which secondary mathematics teachers from across the United States were presented with episodes of mathematics instruction and then asked to make a decision at a critical juncture. The theory of practical rationality suggests that the decisions of mathematics teachers can be understood as…

Number lines and area models are both used pervasively in teaching fractions. Prior studies found that second and third graders demonstrated better magnitude knowledge of proper fractions after a 15-minute training using the number line as compared to using the area model. The current study aimed to extend these findings to improper fractions. We…

The present study examines the effectiveness of incorporating worked examples with prompts for self-explanation into a middle school math textbook. Algebra 1 students (N = 75) completed an equation-solving unit with textbooks either containing the original practice problems or in which a portion of those problems were converted into a combination…

During professional development, the authors learned about strings--a powerful instructional routine used in elementary classrooms to elicit students' mental mathematics strategies and use those strategies to build conceptual understanding. Strings provided the authors with a way to make relatively small changes to guided notes in algebra 1,…

Teacher-directed and self-directed learning have been compared across various contexts. Depending on the settings and the presentation of material, mixed benefits are found; the specific circumstances under which either condition is advantageous are unclear. We combined and reanalyzed data from two experimental studies investigating the effects of…

Modern concept of education is based on students' centered learning approaches where collaborative instructional strategy is an emerging approach. It has been tested in different subjects and its effectiveness has been proved. Therefore, this experimental study investigated the effects of Collaborative Instructional Strategy (CIS) on mathematics…

Existing literature on the impact of Common Core State Standards in Math has shown little benefit, but has not examined variation in outcomes based on implementation strategies, student subgroups, or outcomes other than test scores. We use a difference-in-differences approach with school fixed effects to compare outcomes in pre- and post-standards…

Students lacking automaticity of multiplication facts puts them at a disadvantage when learning fifth grade mathematics standards. If students need to use a multiplication chart, or use tally marks, or repeated addition to solve multiplication problems, they struggle to move forward with standards, which involve exponents, fractions, area, and…

In this dissertation study, I report on six middle school students' construction and interpretation of graphs and associated dynamic situations. Constructing and interpreting graphs represents a critical moment in middle school mathematics due to its opportunity to provide a powerful foundation for learning. Nevertheless, researchers have…

In this dissertation, I explored the interactional work of three Advanced Placement (AP) mathematics teachers by applying ethnomethodology and conversation analysis (EMCA) as the primary methodological approach. The analyses focused on teachers' facilitation of mathematics discussions in the context of the sequential progression of classroom…