In this article, the history of the golden ratio is discussed to demonstrate how exploring this ratio would be of value in a secondary mathematics classroom. Following this, a mathematical activity related to the golden ratio that is suitable for students from Year 7 to Year 12 is outlined.

Prior studies identified effective, but mainly non-digital, homework aids. This research involved 18 middle school students in a lo-fi prototyping study to integrate traditional homework support tools with intelligent tutoring systems (ITS), leveraging rich log data for personalized learning. Feature investigations in standardized diaries, goal…

Making connections within and between different aspects of mathematics is recognised as fundamental to learning mathematics with understanding. However, exactly what these connections are and how they serve the goal of learning mathematics is rarely made explicit in curriculum documents with the result that mathematics tends to be presented as a…

The PISA assessment indicated that the United States performs at the bottom tier among OECD membership nations in secondary school math education. The dearth of math proficiency presented a significant problem for the United States to maintain its future leadership in global technology. The purpose of this exploratory multiple case study was to…

Understanding the structure, antecedents, and outcomes of students' emotions has become a topic of major interest in research on mathematics education. Much of this work is based on the Achievement Emotions Questionnaire--Mathematics (AEQ-M), a self-report instrument assessing students' mathematics-related emotions. The AEQ-M measures seven…

This research study explored teachers' self-reported uptake as well as observed instructional change after participating in a year-long professional development (PD) program focused on supporting the learning and teaching of transformations-based geometry. Analyses illuminate the degree and nature of the pedagogical shifts made by teachers who…

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…

The main purpose of the current study was to develop and validate a scale of perceived attributes of the interactive whiteboard (IW) for the mathematics class. Rogers' Diffusion of Innovations Theory served as the theoretical framework. Two groups of participants in Turkey were employed in this study. The first group consisted of 350 middle school…

Although lesson study has been shown to improve the teaching and learning of mathematics, little research has focused on reasons for engaging in it from a teacher's perspective, particularly after sustained engagement with lesson study. This qualitative study reports on thirty-three teachers from the United States who were involved in twelve…

One hundred four students aged 8 to 16 worked on one Fermi problem involving estimating the number of people that can fit in their school playground. We present a qualitative analysis of the different mathematical models developed by the students. The analysis of the students' written productions is based on the identification of the model of…

This executive summary report includes results for Austin Partners in Education (APIE) programs in 2019-2020 including math classroom coaching, GEAR UP tutoring, college readiness, and mentoring. It highlights continued academic programs serving students in middle and high school and describes APIE support provided to teachers' instruction. As…

Introduction: Participants' perspectives are valuable in evaluating the effectiveness of an intervention. Methods: Interviews were conducted with teachers of students with visual impairments and students who completed an intervention designed to build graphics literacy skills. Results: Six themes were identified with corresponding subthemes. The…

Introduction: Participants' perspectives are valuable in evaluating the effectiveness of an intervention. Methods: Interviews were conducted with teachers of students with visual impairments and students who completed an intervention designed to build graphics literacy skills. Results: Six themes were identified with corresponding subthemes. The…

This is an executive summary of a full report that includes results for Austin Partners in Education (APIE) programs in 2018-2019 including math classroom coaching, GEAR UP tutoring, college readiness, and mentoring. It highlights continued academic support programs serving students in 8th grade math classroom coaching and 12th grade college…

Current reform efforts challenge teachers to create more student-centered classrooms focused on high quality classroom discourse (NCTM, 2014). There are difficulties, however, teachers face in bringing this vision to fruition. Over the past three years, we have worked with a group of 7-12 teachers supporting their efforts to implement high quality…