We propose the 'flow of a proof' as a construct that relates to the balance lecturers achieve in their presentation between the proof as a whole and its different parts, taking into account various aspects (informal, contextual) of proof classroom presentation. We conducted expert interviews in which we presented two different proofs of the same…

We outline the structure of a term-long graduate course on teaching undergraduate mathematics. We analyze reflections written by the graduate students participating in the course to understand how they experienced the course and how the course impacted their beliefs about teaching. We find that students enjoy the course and find it to be useful.…

There is much public concern over the poor math performances of U.S. students compared to other developed countries. In this paper, we consider the role of instruction style in student performance on the math literacy portion of the OECD's PISA exam, specifically looking at the increasingly-popular student-oriented style of classroom instruction…

The low knowledge and love of students for culture, plus based on preliminary analysis, it is known that geometry skills are relatively low. The a need for harmony between student and teacher learning styles to maximize student engagement and focus in the classroom. So this study aims to create a culture-based Geometry learning design that…

This qualitative research study sought to help community colleges aid math faculty in making a transformation in their teaching practices. The research questions were: (a) What did it take for faculty to change their teaching style from traditional lecture-based instruction to one that incorporates low-stakes collaborative practice, just-in-time…

The current investigation examined models of homework interest according to the data from middle school students in China. Homework interest was positively related to homework favorability, feedback quality, deep approach, monitoring motivation, peer interest, self-concept, teacher control, and family homework help. Additionally, homework interest…

This exploratory qualitative case study inquired into teachers' Mathematics Pedagogical Content Knowledge and the teaching and learning of Grade 12 Mathematics at two selected secondary schools. Four Mathematics teachers shared their enactment of the teaching and learning of Grade 12 Mathematics when semistructured interview questions were posed.…

The purpose of this study is to identify the teaching styles and problems faced by teachers as they attempt to cultivate higher-order thinking skills (HOTS) in the topic of quadratic equations. This study used a qualitative approach via structured interview involving four participants who are experienced mathematics teachers from three districts…

This study investigates the teaching and learning of single-digit whole number multiplication in China. Analysis of data from documents, classroom teaching, and semi-structured interviews revealed three salient characteristics of emphasizing "oral calculation," "calculation speed," and "understanding" across…

This study investigates an exploratory teaching style used in an undergraduate geometry course to help students identify an ellipse. We attempt to probe beneath the surface of exploration to understand how the actions of teachers can contribute to developing students' competence in justifying an ellipse. We analyse the complex interactions between…

Objective: This study explores how community college faculty adjust their instructional approaches and student supports amid the COVID-19 pandemic. Method: This research drew on a basic qualitative approach to analyze 18 semi-structured interviews with faculty teaching math or math-heavy courses at two institutions. Results: Our findings add to…

In this research I explored how mathematics teachers can inform their teaching practice through a meta-reflective inquiry into methods of facilitating Whole Brain® learning in mathematics. Herrmann's Whole Brain® theory was used as a lens through which to explore leading theories in the fields of constructivism, mathematics education and cognitive…

Pre-service early childhood teachers' beliefs about mathematics are significant because those beliefs will affect many factors involved in their future teaching. This research explored pre-service teachers' unforgettable mathematics experiences and how these experiences were related to their beliefs about preparing an unforgettable mathematics…

Research shows that teachers influence students' attitudes towards; performance in; and perceptions of a subject. Hence, the need to improve the teaching and learning of many curricular subjects has been well documented for many years. This paper focusses on efforts made to develop competence among out-of-field teachers of mathematics and…

In mathematics, Students of Color have persistently performed lower than their White counterparts, thus creating a need to explore instructional methods that could reduce performance disparities. This study investigated culturally relevant pedagogy (CRP) to understand how it might support students' mathematics learning in undergraduate mathematics…