While tutoring his granddaughter in second-year algebra recently, the second author lamented that every textbook he could find expresses the quadratic formula as probably the most common form of the formula. What troubled him is that this form hides the meaning of the various components of the equation. Indeed, the meaning was obscured by the…

In this nonconcurrent, multiple-baseline, single-subject research study, the authors conducted a preliminary exploration of whether mindfulness-based cognitive therapy (MBCT) can be expanded to the treatment of math anxiety. Three high school students who were assessed with high levels of math anxiety met individually twice a week for 6 weeks with…

We present a model for describing the growth of students' understandings when reading a proof. The model is composed of two main paths. One is focused on becoming aware of the deductive structure of the proof, in other words, understanding the proof at a semantic level. Generalization, abstraction, and formalization are the most important…

In 1968, Hans Freudenthal launched the journal "Educational Studies in Mathematics." This paper describes the events leading to the foundation of this journal. It turns out that his wife, Suus Freudenthal, deserves more credit for her husband's interest and achievements in mathematics education. The couple was interested in education…

In this brief article, the author illustrates the flaws of FOIL (multiply the First, Outer, Inner, and Last terms of two binomials) and introduces the box method. Much like FOIL, the box method can become easy to use. Unlike FOIL, however, the box method is a more direct and visible link to using the distributive property to determine area, a…

The quantitative study explored the mathematics anxiety of the five hundred sixteen (516) junior high school students with age ranging from eleven (11) to seventeen (17). Data collection was realized through the administration of an adopted research questionnaire with declared reliability of 0.85. The analysis of the data revealed that the anxiety…

This study aimed to investigate self-beliefs of 11th grade students in a mathematics PBL classroom (n = 47). The data were collected over a period of five weeks during the second semester of the 2018 academic year using students' self-construal questionnaires, students' self-efficacy questionnaires, students' observation forms, students'…

This article summarises activities that happened during the first three weeks of a fictitious high-school-level linear algebra section that used magic squares as a teaching tool to inspire students to further investigate the topics. The author has been working with students from high school and college levels for years, and although this situation…

In understanding upper secondary school students' interpretations of information in graphical representations of a distance--time graph and an ECG graph, little attention has been paid to the analysis of the condition of the conceptual development related to their utterances. Understanding this better can help improve the teaching of…

In this paper, the probability content in senior secondary mathematics Victorian curriculum between 1978 and 2016 was classified and compared, by content, context, procedural complexity, the SOLO thinking frameworks and use of technology. While probability continues to form an important and increasing component of the curriculum, it has moved from…

Mathematics and technology serve the health sciences as demonstrated in this article, cowritten by one of our calculus students. Creating a lesson based on dosing an antibiotic allows teachers and students to see the immediate value of high school calculus and technology.

Relevance interventions have shown a great potential to foster motivation and achievement (Lazowski & Hulleman, 2016). Yet, further research is warranted to test how such interventions can be successfully implemented in practice. We conducted a cluster-randomized trial in ninth-grade math classrooms to test the effectiveness of a relevance…

During professional development, the authors learned about strings--a powerful instructional routine used in elementary classrooms to elicit students' mental mathematics strategies and use those strategies to build conceptual understanding. Strings provided the authors with a way to make relatively small changes to guided notes in algebra 1,…

This study reviews how slope is developed in expository materials across a seven-textbook series. Slope development is analyzed using a framework of five slope components to describe which components are used and connected, and by investigating accompanying levels of covariational reasoning. Findings suggest that the series describes slope from…

This program focused on improving mathematics content and pedagogy for Algebra I teachers, including regular classroom teachers and exceptional education teachers, as they implemented the Tennessee Mathematics Standards. Concentrating work on a few topics allowed for tightening breadth while increasing depth of content, as well as devoting study…