In 2023, California will implement a new statewide math framework that will drive curriculum decisions and pedagogical approaches for years to come. Although the state's content standards for mathematics are not changing, a statewide framework could nevertheless shift instruction by providing educators with guidance on how to implement content…

3D geometry is an essential concept in mathematics because it relates to real-world experiences and numerous mathematical topics. However, some students still have difficulty understanding this geometry. Therefore, this study aims to identify and describe students' epistemological obstacles to the dimensions of representation, spatial structure,…

Euclidean geometry provides an opportunity for learners to learn argumentation and develop inductive and deductive reasoning. Despite the significance of Euclidean geometry for developing these skills, learner performance in mathematics, particularly geometry, remains a concern in many countries. Thus, the current study examined the nature of…

Classroom teachers' awareness of the characteristics of students with mathematics learning difficulties is important for the planning and implementation of individualized intervention programs for students. This study aims to examine classroom teachers' awareness of students with mathematics learning difficulties, as well as the mathematics…

Students' difficulties in algebra are generally caused by the use of algebraic notation, the meaning of letters, as well as the types of relationships or methods used. Therefore, interpreting letters in algebra is one of the critical points in the transition from arithmetic to algebra. However, many students have misconceptions in interpreting…

Teachers' knowledge, beliefs, and attitudes contribute to the success of classroom instruction. Teaching approaches that are informed by teachers' good content knowledge of mathematics they teach are regarded as more effective and produce high learning outcomes. It is critical that teachers possess both content and pedagogical content knowledge as…

Open Educational Resources (OER) was first introduced in universities as a cost-saving option to traditional textbooks. In 2015, the U.S. Department of Education announced the #GoOpen initiative, challenging school districts nationwide to convert at least one course from traditional curriculum resources to OER. Existing research has focused on the…

Encouraging students' ability to reason can be looked at through the lens of both oral and written representations. In 2022, the author participated in the first intake of the Teacher Excellence Program run by the Victorian Teaching Academy. Being part of an in-depth professional learning program challenged the author's teaching practices to focus…

Educator preparation programs design their coursework and field experiences to help future teachers with knowledge, skills, and abilities to effectively teach mathematics. However, implementation of mathematical pedagogy and content has been seen as challenging for many school systems. Elementary and middle school teachers' experiences in their…

Background: Fluency in mathematical language is essential for learning mathematics. Teachers must understand and use their diverse mathematical knowledge, including language and communication difficulties inherent to mathematics instruction. According to recent South African research, Grade 1 teachers are not equipped to utilise learners'…

This study investigated the effectiveness of an intervention designed to support sixth-grade Spanish-speaking English as Additional Language (EAL) learners and their English proficient classmates in acquiring pre-algebra knowledge and skills and associated academic vocabulary. The sample consisted of 88 EAL learners and their 139 English…

This study investigates the extent to which student and task-related characteristics are associated with different types of note-taking and analyzes how task success depends on these elements. For this purpose, a sample of n=866 students (age: mean=13.99) completing two reality-based tasks as part of a paper and pencil test are considered. The…

Many studies on professionalization research deal with the question of how teachers actually learn or how teacher change occurs. In this context, Clarke and Hollingsworth (2002) describe a model for capturing teacher change in different domains (external, personal, domain of practice and domain of consequence) and how changes in one domain can…

We present a system for math placement and intervention that pairs ALEKS PPL with an online, standards-based "bridge" course designed to prepare students interested in STEM for PreCalculus. To determine the efficacy of this system we studied ALEKS PPL placement scores, bridge course grades, ALEKS concept mastery percentages, and…

This three-article dissertation examined the implementation and impact of corequisite mathematics courses at four North Carolina community colleges located in urban areas. The first article was a multiple case study that examined student and instructor experiences to determine the characteristics of corequisite courses that students and…