The Great Mini-Golf Project requires students to use a ruler to identify measurements to the quarter-inch, with careful precision and accuracy, which supported the Standards for Mathematical Practice 5 and 6: using appropriate tools to solve mathematical problems with precision (NGA Center & CCSSO, 2010). This project also supported Standard…

The mathematical modeling process is also a powerful way to teach students the meaning of data. In mathematical modeling, students are collecting data to answer a question. Data collection is the means to an end and not the end in itself. The author was looking for an engaging way to introduce his third-grade mathematics class to the skill of…

In this article we show that the electrostatic field intensity of a uniformly charged straight line equals that of the corresponding arc of a circle charged with the same linear density. This new method greatly simplifies the calculation of the electrostatic field of a system consisting of uniformly charged straight lines.

As a distinct mode of mathematical representation and communication, geometry diagrams are both signs that represent abstract geometric concepts and visual images that offer graphical-spatial properties. Dynamic geometly environment offers a wide range of tools for its users to create and interact with geometry diagrams. In this paper, I propose a…

Children face increased demands for interpersonal as well as learning-related social skills, especially by the vulnerable stage of school entry, due to the more structured setting, new academic requirements, and the fact that children are supposed to interact successfully within a larger and heterogeneous peer group. Although a plethora of…

Impact is an increasingly significant part of academia internationally, both in centralised assessment processes (for example, UK) and funder drives towards knowledge mobilisation (for example, Canada). However, narrowly focused measurement-centric approaches can encourage short-termism, and assessment paradigms can overlook the scale of effort…

Given the applicability of measurement to real-world problem solving and the importance of measurement understanding to accessing more advanced mathematics, improving instruction on foundational measurement skills for struggling learners is crucial. Although interventions targeting measurement have a smaller research base than other areas of…

Igniting excitement for physics in our students is a goal of every instructor. In this paper, we discuss a unique example of the concept of density, a subject that is rarely viewed as intriguing by students. By combining a problem involving dinosaurs and an effective density, our students' interest is often captured through calculating an…

We describe three activities that help undergraduates (pre-service teachers) to develop scientific vocabulary on measurable attributes and units of measurement. Measurable attributes are important features in understanding a word problem and solving the problem. These activities help students comprehend word problems better by identifying…

Purpose: Making policy makers, researcher, education leaders, and assessment developers aware that what matters in education assessment is a wicked problem that cannot be easily solved following traditional approaches. Design/Approach/Methods: Starting from the questions that what matters in education assessment, this article presented such…

This paper presents an application of the Kalman filter in signal processing in instrumentation systems when the conditions of the environment generate a large amount of interference for the acquisition of signals from measurement systems. The unwanted interferences make important use of the instrumentation system resources and do not represent…

This article focuses specifically on the inclusion of meaningful (but potentially messy) real-world mathematics tasks in the middle school classroom. Real-world tasks provide students with learning opportunities allowing mathematics to be used to understand the world, strengthen mathematical knowledge, and offer opportunities for students to use…

Students are expected to use the Cartesian plane to represent and reason about mathematical concepts such as number systems, geometric figures, and functions. However, the simplicity of representing mathematical concepts that the Cartesian plane provides can cause us to overlook the difficulties many students have in constructing and using it.…

This paper examines current views and definitions of learning transfer as well as their dominant characteristics. An alterior way to view learning transfer as preparation for future learning (PFL) is presented along with its defining features. This paper is divided into five sections: (a) what comprises learning transfer, (b) the conventional…

"Mathematical Thinking: From Assessment Items to Challenging Tasks" is a compilation of 36 problem-based lessons that encourage students to engage in productive struggle and deep thinking. Its 36 full-length lessons for grades 2-8 are each inspired by an actual test item from the National Assessment of Educational Progress (NAEP).…