The goal of this design-based research study was the creation and evaluation of a mini-unit intended to foster perceptually grounded understandings of the concept of slope in middle-school students. Central to this unit was an innovative device designed to create a productive pedagogical space between student intuition for steepness and formal…

This article is concerned with the level of reasoning needed to complete state examinations in mathematics and science at lower secondary level in Ireland. The authors used Lithner's (2008) Creative Reasoning Framework to classify tasks in three years of mathematics examination papers. They adapted this framework to do the same for science. It was…

The learning process of constructing concepts in mathematics can be supported by visualization in graphical, numerical, and symbolic representations. However, previous research suggests that students have not fully taken advantage of the opportunities provided by these technologies. Two key factors, including mathematics conception and mathematics…

Conventional word problems can't help students build mathematical modeling skills. on their own. But they can be leveraged! We examined how middle and high school students made sense of word problems and offer strategies to question and extend word problems to promote mathematical reasoning.

Helping junior high school students to use calculators and computers for problem solving and investigating real-life situations is an objective of the junior high school mathematics curriculum in Ghana. Ironically, there is a technological drought in junior high school mathematics instruction in Ghana, with a suspicion that mathematics teachers'…

This study is to reveal the construction process of student representation in solving of ill-structured geometry problems. The three phases involved in the construction process are interpreting the problem, giving opinions, and concluding. A total of four high school students participated in Surabaya and Sidoarjo in this qualitative study. They…

Students' attitudes and motivations toward mathematics decrease as they intensively confront cognitive information along the process of mathematics teaching in general. One of the most important reasons for this is the lack of activities for affective and psychomotor domains in the mathematics teaching process. One way to overcome this problem is…

In Australia, student under-participation and disengagement in secondary mathematics classes are persistent problems. Academic help seeking is a unique self-regulated behaviour that is important for engagement in mathematics classes and yet many students avoid seeking help from teachers and peers as they progress through secondary school. The aim…

Mathematics clubs are becoming increasingly researched in South Africa, yet what might constitute a curriculum for such clubs has not been discussed. We present and analyse a curriculum design for clubs that we set up and worked with over three years. The goals of the clubs were to foster strong mathematical proficiency, identities and agency…

One does not have to teach for very long to see students applying the wrong formula in the wrong situation (e.g., Kirshner and Awtry 2004; Tan-Sisman and Aksu 2016). Students can become overreliant on the power of the formula instead of thinking about the relationships it describes. It is not surprising that students can see formulas as a way to…

In this article, former high school teacher and K-12 math supervisor Stacy Winters questions if her approach to high school math instruction was what was best for student learning. After observing elementary classrooms and the way the teachers were able to engage the students in student centered, hands on, interactive, and fun math lessons, she…

Completion of a quality Algebra course by 8th grade is a prerequisite for successful entry into STEM majors; thus best practices in this critical course must be as equitable as possible to support STEM recruitment and retention. However, if the research base for Algebra is under-examines some populations of students, structural inequity may be…

During students' mathematics education trajectory, they engage in a path of constructing their mathematical identities within the social and cultural contexts of classrooms. The construct of mathematical identity can be summarized as how a student relates to mathematics. While this seems simple, the implications of how a student relates to…

Teachers use a variety of instructional strategies when they teach various mathematical topics and concepts. Some of these strategies have been found to positively affect the performance of learners while others do not. This study analysed the teacher questionnaire data from the Trends in International Mathematics and Science Studies (TIMSS) 2015…

Conceptual understanding is one of the main concerns of mathematics education. Numerous research have discussed student understanding of algebraic concepts, linear equations in particular. This research was drawn upon in order to develop a new approach for teaching and learning linear equations based on the equivalence concept, one that aims to…