In this participatory action research (PAR) study, I sought to understand how teachers implemented equitable and culturally responsive academic discourse to support African American students during mathematics instruction. Working with a group of teachers in a co-practitioner researcher (CPR) group, I examined to how teachers effectively planned…

Teacher educators, policy makers, and school administrators have long been concerned with new teachers' initial preparedness to teach. However, how to conceptualize and to validly measure teacher preparedness and the extent to which it is predictive of teacher retention are not entirely clear. This longitudinal study draws on data on hundreds of…

Corequisite developmental mathematics is an instructional model designed to support underprepared college students in completing their gateway math requirements. A transition to this model typically requires changes in pedagogy and a commitment to the integration of learning support with course content and instruction. This research garnered input…

Teachers naturally engage in the act of 'noticing' as part of their daily practice. This specialised form of noticing, referred to as 'teacher noticing', involves a deliberate focus on specific aspects within the mathematics classroom. The author's PhD research has investigated how the events teachers notice and respond to online in Emergency…

One of the most significant barriers to changing instructional practices is teachers' mindsets and beliefs about teaching and learning mathematics. This study identifies a promising new type of video club professional development that supports teachers in examining their instructional practices and mindsets. This form of professional learning is…

This paper aims at using a Use-Modify-Create approach to explore students' mathematical problem solving by means of computational thinking (CT) and programming activities. The data collection method is participant observation, in which the researcher also has the role as teacher, guiding the group activities. In our study, two groups of students…

The design principles of cognitive load theory and learning by analogy has independently contributed to our understanding why an instruction will or will not work. In an experimental study involving 97 Year 9 Australian students conducted in regular classrooms, we evaluated the effect of the unguided problem-solving approach, worked examples…

The act of making provides students with an opportunity to create and design by using materials and technologies. Scholars who examine learning through making maintain that maker approaches to solving problems, creating designs, and thinking about real-world ideas promote the development of abstract thinking skills, such as modeling, and…

Failure to deduce false suppositions in proof by contradiction is still considered "more difficult" than proving the conditional ?? to ?? in proof by contraposition. This study aims to identify the types of proof construction failures based on the action steps of proof by contradiction, then offer a framework of construction failure…

Authors of calculus texts often include graphs in the text with the intent that the graph depicts relationships described in theorems and formulas. Similarly, graphs are often utilized in classroom lectures and discussions for the same purpose. The author or instructor includes function graphs to represent quantitative relationships and how a pair…

While in traditional mathematics teaching methods, it is possible to prove concepts while teaching geometry and to reach generalizations that require more complex definitions by using concept findings, while in today's geometry teaching, learning that activates the student's discovery process gains importance. In this context, the aim of this…

Spatial ability is frequently encountered in professional disciplines and daily life. In general, it includes abilities such as rotating objects, estimating the appearance of objects based on a person's position, and being able to think of open and closed forms of three-dimensional objects. It is essential in learning and teaching geometry. In…

The significance of mathematical creativity cannot be undervalued. Encouraging creativity in learning can increase student rigor, foster greater learning engagement, and promote a thirst for knowledge both inside and outside of school. However, researchers have identified that research on mathematical creativity has not been foregrounded.…

There is a growing interest in ensuring that students are prepared for college and a career when they finish high school. Research identified several indicators that are associated with college preparedness including attendance, grade point average (GPA), and test scores. However, it is difficult to use these indicators to determine the…

The No Child Left Behind Act of 2001 and the Every Child Succeeds Act of 2015 have significantly emphasized student academic outcomes in recent years. As a result, school districts are seeking strategies to increase student achievement and incorporate required standards and goals. Reducing scheduled physical activity time that students in…