In this paper, I present a homework system that supports a flipped classroom environment using only a textbook for students' first contact with the material. Motivated by David Pengelley's homework system, each unit of material has four key components: Core Assignments, Conceptual Assignments, In-class Worksheets, and Follow-up Assignments. The…

The purpose of this study was to examine the effects of Google Classroom on the outcomes of students with learning disabilities in the mathematics classroom. Specifically, the study evaluated students' organizational skills, student achievement, and student satisfaction. The study included 7 high school students, 4 males and 3 females, in an…

It is hard to imagine that, eight hundred years on, the study of Fibonacci could affect the lives of teenagers in Australia. Or is it? A mathematics class of more able Year 9 students in a regional city of Western Australia feels that it has happened to them. Thirty-two students submitted a Fibonacci task as a mathematics assessment, with many of…

During the author's eighteen-year tenure as a high school mathematics teacher, there has been one question that she has yet to answer: "Why don't students do homework?" On the basis of research, many factors may lead to a student leaving homework undone. A student may lack the drive to complete work out of school. Or a student may choose…

Homework has been a mysterious world to educators due to the fact that it is hard to collect data with regard to homework behaviors. Little is known about when a student works on homework, how long it takes him to complete the homework, how much time he spends on a problem and whether and where he has struggled, etc. Such information not only have…

The inverted classroom is a course design model in which students' initial contact with new information takes place outside of class meetings, and students spend class time on high-level sense-making activities. The inverted classroom model is so called because it inverts or "flips" the usual classroom design where typically class…

This paper describes the development of a coding guide that was used to evaluate the use of information and communications technologies (ICT) in student assignments. Instrument design and pilot-testing was conducted in a Hong Kong Chinese primary government-subsidised school (I-School) with a school-based e-learning project. The design of the…

This study investigates the usefulness of a Dynamic Geometry Task Analysis Framework for indicating task quality in dynamic geometry environments in general, and The Geometer's Sketchpad in particular. This research sought to first establish the validity of the framework for indicating task quality, and to second explore the effects of the…

Flipped classrooms and inquiry-based learning (IBL) have each become popular in their own right, leading to a natural question: Why not combine these two great ideas? Although flipping a class usually involves students reading or watching videos before class, and IBL focuses on allowing and encouraging students to develop material on their own,…

The overarching purpose of this document is to define a new vision for mathematics instruction that explicitly attends to the needs of English Language Learners (ELLs), addressing the interdependence of language and mathematics. The sections in this report are devoted to (1) making clear that the grade-level college- and career-readiness…

The field of learning analytics is rapidly developing techniques for using data captured during online learning. In this article, we develop an additional application: the use of analytics for improving implementation fidelity in a randomized controlled efficacy trial. In an efficacy trial, the goal is to determine whether an innovation has a…

This paper reports research on student produced screencasts to support learning. Participants in a Mathematics for Teachers course were asked to create and peer critique screencasts to explain concepts (year 4 to 9 level). They were also asked about their experience with screencasting and its impact on their own teaching and learning. This paper…

In this study, we considered how four teachers reasoned about proportional situations involving geometry. We used pilot interviews conducted with in-service middle grades teachers around a set of proportional tasks. Analysis relied on a knowledge in pieces lens to uncover the resources that each teacher used in solving the tasks and which…

Over the last four years of the senior capstone seminar at Western Carolina University, we have redesigned the course substantially to comply with our institutional Quality Enhancement Plan for engaged student learning and to follow the guidelines proposed by the Mathematical Association of America's Committee on Undergraduate Programs in…

Technology-enhanced mathematics tasks were introduced to elementary pre-service candidates (n = 84) and in-service teachers (n = 38), who then, either in partners or small groups, created and taught inquiry-based lessons incorporating technology, with individual reflections. The lessons were coded using the following criteria: (a) The students…