Metacognition supports students in successfully working through struggle by equipping them with the tools to maintain an awareness of what they are doing and to change directions when needed to overcome obstacles. Thus, it is of little surprise that effective problem solvers spend a significant amount of time analyzing tasks relative to the amount…

Mathematical problem-posing and modeling are essential skills in developing students' analytical thinking and problem-solving abilities. This study aims to examine correlation between 9th-grade students' problem-posing and mathematical modeling skills within the learning domain of numbers and algebra. Additionally, it evaluates students'…

This study aims to explore the perceptions of high school students at risk of academic failure regarding their mathematics teachers, using drawings and related questions to gather detailed information. The perception of these students can provide valuable insights into the potential role of teachers in students' academic failure. Analyzing the…

Describing mathematics classroom teaching and learning is part of a professional expertise. Comparing 'our distinct stories' and 'our professional languages' about teaching and learning in mathematics classes around the world, reveals cultural and linguistic underpinnings of our 'stories' and 'languages'. Analysing and understanding these…

The short activity presented in this article continues a discussion related to the value of golden ratio explorations in secondary mathematics, and acts as a companion to the earlier paper in this journal (Crawley, 2023). Exploring meaningful ways in which teachers can elicit students' interest and engagement in mathematics is vital, and…

Teaching towards big ideas provide opportunities for teachers to think deeply about content and pedagogy in order to support their students to see connections in mathematics. However, teachers may not always activate or mobilise their knowledge in classroom situations. This paper looks into how a teacher, Peter, think about the tasks in his…

This study investigated the effectiveness of four Digitalized Interactive Components (DICs) designed based on cognitive principles to accommodate individual differences among students with learning difficulties in geometry during computer-based assessments. The four DICs were annotations (allowing students to make notes on the screen), pop-up…

This study reviewed papers in the Web of Science database from 2010 to 2020, which were relevant to the integration of the dynamic geometric software, GeoGebra, into mathematics education with a focus on publication trends, research methods, participants, application domains, learning strategies, and research issues. It was found that there have…

Using data from the Applied Problems subtest of the Woodcock-Johnson Tests of Achievement (Woodcock & Johnson, 1989/1990, "Woodcock-Johnson psycho-educational battery-revised. Allen, TX: DLM Teaching Resources") administered to 1,364 children from the National Institute of Child Health and Human Development (NICHD) Study of Early…

The multi-faceted nature of mathematics knowledge for teaching, including pedagogical content knowledge (PCK), has been studied widely in elementary classrooms, but little research has focused on senior secondary mathematics teaching. This study utilised the Knowledge Quartet (Rowland et al., "Research in Mathematics Education," 17(2),…

This study analyses a standards-based textbook series to investigate how slope is presented across seven sequential textbooks in a secondary mathematics curriculum. Analysis of the expository content across the textbooks shows that slope is covered in all seven books, is frequently described as a "Constant Parameter" or…

Barry Kissane describes a statistical modelling activity using a graphics calculator. Senior secondary students can explore Bureau of Meteorology data to determine whether the number of years with record breaking temperatures are more than expected--a sort of global warming null hypothesis.

Close to a decade ago Hong Kong completed the implementation of a New three-year Senior Secondary (NSS) curriculum by introducing the Hong Kong Diploma of (HKDSE) examination. Because mathematics is one of the core subjects intricately involved in this education reform, it is necessary to evaluate the connection between the Hong Kong S1 - S6…

The purpose of this quantitative correlational study was to determine if, and to what extent, a relationship existed between teachers' perceptions of their evaluator's instructional leadership and the teachers' evaluation scores at the middle and high school levels in one Florida school district. Ozcan's theory of teacher motivation states that…

As highlighted in the literature, one of the main difficulties in mathematics is the management of different semiotic representations. This difficulty occurs in verticals throughout schooling and is often an obstacle to the proper learning process of mathematics. The present study aims to investigate the different facets of these difficulties with…