The relationship Terry and I developed as colleagues and friends illustrates elements of the legacy she leaves. Our overlapping research interests stimulated conversations about synergies and differences between our theoretical perspectives. Depending on the situation and purpose, these interactions possessed different characteristics. Terry…

For Terry Wood, the personal and professional were seamlessly connected. In her "House with the Blue Door" graduate students and visiting scholars lived; people gathered for conversations and music; the community reflected and found connections between important ideas. This chapter sets the stage for the special issue by contextualizing…

Preservice elementary teachers tend to have higher mathematics anxiety than other undergraduate majors, which can be mitigated through building self-efficacy. Teacher education programs can address this deficit through methods courses that provide opportunities for preservice teachers to construct mathematical concepts and practice instruction.…

In this paper, we present a qualitative case study on an online graduate program for practicing teachers and educators that explores contemporary mathematics and its integration into K to 12 education. Data for the study comprised students' work in the courses, student feedback, and notes from instructor debriefings for two cohorts of the program.…

In this theoretical paper, I review the history of research in educational psychology that inspired Shulman's notion of pedagogical content knowledge (PCK) and I critically examine interpretations of PCK reflected in prominent theoretical frameworks for mathematical knowledge for teaching (MKT). I propose a theory of PCK--grounded in radical…

Schools have been using various approaches to address the pandemic-related struggles that students are experiencing with mathematics. There is an overwhelming consensus among both educators and researchers that we need to adopt acceleration rather than remediation as a tool to counteract the challenges that students currently face. Acceleration is…

Researchers have identified many ways that students think about rectangular area. However, research about students' understanding of triangle area is relatively scarce. Although it may seem simple to apply the triangle area formula, there is more to students' understanding of triangle area. In this dissertation, I obtained data to help answer the…

This paper reports on an exploratory study about probabilistic intuition in learning mathematics for decision-making. The analysis was carried out on a group of high school students in relation to their probabilistic intuition in problem-solving, after performing playful learning activities on a simulation platform specifically designed for this…

This article presents an original puzzle that supports students' development of visual thinking and geometry ideas based on the Van Hiele levels of geometric thought. The "Triangle Puzzle" is one of many tools teachers can use to guide students' learning of geometry. The Van Hiele's theory provides a way to assess and support this…

When given the opportunity to play with mathematical materials and ideas, children demonstrate their mathematical understanding in innovative ways. The open-ended nature of the "Pattern Blocks" activity provides agency for children to decide how to approach the tasks, ways to differentiate beyond more common pattern-block puzzle choices,…

This article describes how integrating children's literature in mathematics classrooms has proven to provide a common context that is suitable for problem solving and modeling that advances mathematical thinking and reasoning. The engaging task inspired by children's literature allowed this teacher to infuse science, engineering, technology, and…

The National Council of Teachers of Mathematics (NCTM) promotes creating resources that build procedural fluency from conceptual understanding through intentionally sequenced tasks that draw on students' prior knowledge and move from simple, concrete representations to more complex and abstract representations (Boston et al., 2017). Liljedahl…

This paper reports on university students' responses to an inverse proportion question. The authors conclude that inverse proportion is a difficult concept that requires constant reinforcement, using approaches to teaching that facilitate deeper conceptual understanding.

Due to the growing interest in the integration of ethnomathematics in mathematics education, we undertook a systematic literature review and bibliometric analysis of research on the incorporation of ethnomathematics in geometry teaching from 2011 to 2021. The search for 37 relevant research articles was done on Google Scholar, Scopus, and by hand…

The mathematics curricula of Australia (ACARA, 2019), Scotland, England and America all require an understanding of proof by contradiction. Specifically, proof by contradiction is included as a Geometry topic in Specialist Mathematics (Version 8.4). In Specialist Mathematics, it is expected that students construct proofs in a variety of contexts…