Universities are encouraging the implementation of innovative methodologies and teaching strategies to develop an interactive and appealing educational environment where students are the focus of the learning process. In such a personalised learning environment, an increase of the students' engagement and the improvement of the outcomes arise.…

Mathematical creativity is considered beneficial for learning mathematics. However, research studies that provide empirical evidence of students' mathematical creativity in regular mathematics classrooms are relatively scarce. This study explores the idea of mini-creativity (mini-c), which is defined as the creative processes involved in the…

Transforming an observable phenomenon into a tractable model is a challenging process, from determining the appropriate modeling scale to making realistic simplifying assumptions. However, many modeling texts are anchored around problems that have already been synthesized into a digestible format, which inhibits an opportunity to engage students…

The integration of biology with mathematics and computer science mandates the training of students capable of comfortably navigating among these fields. We address this formidable pedagogical challenge with the creation of transdisciplinary modules that guide students toward solving realistic problems with methods from different disciplines.…

In the study, it was aimed to examine the activities in the Secondary School Mathematics Practices course books taught within the scope of mathematics practices course in Turkey and published by the Ministry of National Education, according to the principles of Model Eliciting Activity (MEA) design. For this purpose, document analysis technique,…

Several publishing companies now offer competing brands of online homework (OHW) software. Students rarely have a voice in choosing their required course materials, even though, ultimately, they will be asked to use and pay for these systems. In this study, Calculus I students each tested three different OHW systems. The students were then asked…

Proving and refuting are fundamental aspects of mathematical practice that are intertwined in mathematical activity in which conjectures and proofs are often produced and improved through the back-and-forth transition between attempts to prove and disprove. One aspect underexplored in the education literature is the connection between this…

The purpose of this paper is to highlight issues related to students' personal inferences that arise when students verbally explain their justification for calculus statements. We conducted clinical interviews with three undergraduate students who had taken first-semester calculus but had not yet been exposed to formal proof writing activities…

This paper describes our work to determine the naturalistic images that first-time second-semester university calculus students possess for series convergence. We found that the students we interviewed most frequently determined whether a series converged by imagining a process of appending summands into a running total and examining whether this…

Using data from teaching experiments and theories from quantitative reasoning, we built second-order accounts of students' mathematics with regards to how they conceived rate of change through operating on existing quantities. In this report, we explain three different ways STEM undergraduates structurally conceive rate of change as they…

The more researchers understand the subtleties of teaching practices that productively use student thinking, the better we can support teachers to develop these teaching practices. In this paper, we report the results of an exploration into how secondary mathematics teachers' use of public records appeared to support or inhibit their efforts to…

The knowledge of math fact fluency skills is crucial for children to develop both related and subsequent necessary math skills. Students require fluency in basic math facts in order to successfully understand and perform more complicated math problems. Research has shown that students demonstrating math skill deficits are likely to have limited…

This study enquires into the embodied processes of children in solving multiplication tasks, considering how such processes can expand access to spatial reasoning skills and simultaneously develop students' understanding of multiplication. The analysis focused on four Year 2 students as they completed two embodied tasks. The aim was to understand…

We report on questionnaire data gathered from teacher participants (n = 100) following their participation in the project, Exploring Mathematical Sequences of Connected, Cumulative and Challenging Tasks. Teachers shared their views about the effectiveness of various instructional approaches to support differentiation in mathematics, including…

Zero has been philosophically and symbolically interpreted differently from other numbers throughout history. While it is foundational to all mathematics, in early grades, it is denounced as representing "nothing." In this study, the understanding of zero among students with learning disabilities (LD) and no learning disabilities (NLD)…