Adaptive learning programs are frequently used in the K-8 mathematics classroom. These programs provide instruction to students at the appropriate level of difficulty by presenting content, providing feedback, and allowing students to master skills before progressing. The purpose of the study was to seek to interpret how preservice teachers'…

This mixed-methods study investigated the relationships among preservice teachers' efficacy beliefs, pedagogical content knowledge (PCK) and their domain knowledge (DK) as related to mathematics and science teaching. Quantitative results revealed that participants' PCK was significantly correlated with their mathematics and science efficacy…

The important role that geometry plays in the mathematics curriculum has been extensively documented. However, the reduction of geometry in school mathematics, and the focus on basic computation and procedures, raises the question of the competencies students acquire and the classroom atmosphere in geometry lessons. The goal of this multiple case…

Elementary teachers were involved in a two-year grant focused on professional development using lesson study processes to increase their understanding of mathematics content and effective mathematics pedagogy. The primary research questions focused on how 16 elementary teachers described their professional growth after being involved in lesson…

The purpose of this study was to investigate the types, sources, and cognitive levels of tasks that included real-life situations used in science and mathematics lessons in the classrooms of two 5th-grade teachers at an urban elementary school in Turkey. A qualitative approach was used to analyze data that included classroom observations, teacher…

This research aims to expose prospective mathematics teachers' difficulties while proving, as well as the reasons behind such difficulties. The research includes 121 second year undergraduate prospective teachers studying at the primary mathematics teaching department of a state university in Turkey. The study has found that prospective teachers…

We explore early childhood teachers' lived experiences learning and teaching mathematics with young children, adding finer-grained context and detail to broader research descriptions. We interviewed ten early childhood teachers in a university laboratory school about their mathematics training, classroom mathematics curriculum, who controls their…

This study addressed the opportunities to learn (OTL) modeling in algebra provided to secondary mathematics pre-service teachers (PSTs). To investigate these OTL, we interviewed five instructors of required mathematics and mathematics education courses that had the potential to include opportunities for PSTs to learn algebra at three universities.…

The purpose of this study was to investigate three second-year graduate students' awareness and understanding of the relationships among the "big ideas" that underlie the concept of derivative through modeling tasks and Skemp's distinction between relational and instrumental understanding. The modeling tasks consisting of warm-up,…

The transfer of learning has been the subject of much scientific inquiry in the social sciences. However, mathematics education research has given little attention to a subclass called backward transfer, which is when learning about new concepts influences learners' ways of reasoning about previously encountered concepts. This study examined when…

The purpose of this study was to examine students' responses to the digital and the active version of Angry Birds™ according to students' mathematics grades. The relational screening model was used to reveal the relationship between the students' responses and their math grades. The participants were 26 elementary and secondary school students…

This study examined the scaffolds that three high school mathematics teachers provided to their geometry students as they used technology to explore geometric ideas. Teachers often used structured activities using a dynamic geometry program and provided significant emotive feedback while students worked through the tasks. This provided…

This paper explores the decline in boys' participation in post-compulsory rigorous mathematics using the perspectives of eight experienced teachers at an independent, boys' College located in Brisbane, Queensland. This study coincides with concerns regarding the decline in suitably qualified tertiary graduates with requisite mathematical skills…

This paper discusses upper primary school teachers' perspectives on changes to their knowledge and practice through participation in a design-based research project. It analyses their experiences using Clarke and Hollingsworth's (2002) empirically-founded model for professional growth to understand more about the mechanisms for change that might…

The main goals of this article are twofold. The first is to explore whether the General Education Development (GED) program has the potential to meet the academic requirements cited by the scholarship in the area of mathematics for First Nations upgrading programs. Secondly, this paper explores how the GED program influences identity in students…