Representation is an important element for teaching and learning mathematics since utilization of multiple modes of representation would enhance teaching and learning mathematics. Representation is a sign or combination of signs, characters, diagram, objects, pictures, or graphs, which can be utilized in teaching and learning mathematics.…

Team-Based Learning (TBL) is a cooperative learning strategy blending elements of flipped learning, inquiry-based learning, and problem-based learning. Although used quite frequently in other disciplines, use of this strategy in mathematics has been limited. In this article, we describe how TBL can be implemented in math courses with adherence to…

Financial literacy is ideally suited to be integrated into mathematics courses and taught in an interdisciplinary manner. Students learn best and are motivated when tackling real-world meaningful questions. This article shares how elementary mathematics was applied to better understand the debate about raising the minimum wage and the United…

The didactic strategy of this study consisted of the implementation of virtual practices for learning Mathematics at the university level. The objectives established to evaluate the impact of the strategy were to determine the contribution of these virtual practices and identify their effect on students' academic performance. The strategy was…

These proceedings are a written record of the research presented at the 43rd annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) held in Philadelphia, Pennsylvania, and virtually. This year's conference theme is "Productive Struggle: Persevering through Challenges."…

I examined the relationship between teachers' identification of mathematical points in written lessons and students' mathematical learning opportunities. Lessons in teachers' guides and classroom instruction were analyzed for written mathematical points and those articulated by teachers during instruction. Teachers who appropriately identified…

Two of the teachers' knowledge models most widely used in the literature are the Mathematical Knowledge for Teaching (MKT) and the Knowledge Quartet (KQ). We develop an analysis of the limitations of the knowledge required for teaching problem-solving published during 1990-2018 which includes these models. This analysis revealed that MKT takes…

This article explores some entertaining examples of mathematical thinking in working with the alphabet. They involve thinking linearly, sequentially, in order, and logically, and require problem solving--mathematical thinking. The article discusses creatively exploring the alphabet through alphabet books and creating alternative alphabet lists.

The development of mathematical reasoning is a key proficiency for mathematics within the Australian Curriculum. However, reasoning can be difficult for teachers to assess, particularly with pen and paper tests. In this study, interview tasks were designed across three curriculum areas at three different levels to assess student reasoning through…

This study investigates the associations of spontaneous "dynamic gesture" and "transformational speech" with the production of "deductive proofs" in participants' reasoning about geometric conjectures (N=77). Although statistical analysis showed no significant association, the result suggests that purposefully…

Can using mindfulness/contemplative practices help students become mindful, focused, and present in the mathematics classroom? In this study, mindfulness/contemplative practices were used in the mathematics classroom to determine if students were encouraged to be mindful, focused, and present or engaged in problem solving. During class time,…

It may sound strange, but in today's mathematics classroom, teachers are encouraged to have students struggle. This struggle, however, is not what might come to mind upon first hearing the word. The struggle I refer to here is what researchers have termed "productive struggle," which is present when students must persevere in solving…

Children who begin formal schooling with stronger executive functioning (EF) capacities are better able to adapt to a more regimented learning environment and to succeed academically. Unfortunately, children growing up in low-income households are less prepared to meet the EF demands required of more formal learning environments than their…

The advancement in technology in various sectors has contributed to significant changes aimed at obtaining positive outcomes. One of the most advancements that have been witnessed in different sectors is the application of technological devices such as smartphones, tablets, iPods, computers, among many others. The use of these technological…

Understanding equivalence is fundamental to STEM disciplines, yet misunderstandings and misconceptions inhibit students from fully appreciating or leveraging the concept. Using the game-based algebraic notation system, From Here to There! (FH2T), students explore ideas of equivalence by dynamically transforming expressions or equations among…