This study documented efforts to facilitate ideas of beginning inference in novice grade 7 students. A design experiment allowed modified teaching opportunities in light of observation of components of a framework adapted from that developed by Pfannkuch for teaching informal inference with box plots. Box plots were replaced by hat plots, a…

Affinity Learning is a system that allows the user to build a lesson on a subject matter by breaking it down into concepts, misconceptions, assessments, and remediation steps. Examples and questions can also used in these components. Affinity Learning has been found to be effective and can offer critical insights to student learning strategies.…

This study of student performance in an online Algebra course looked at the development, implementation, and evaluation of interactive tools for graphing linear equations. The study focused on an interactive tool that was evaluated with virtual school Algebra students for a challenging component of the course. The performance of these students in…

As well as being important for school mathematics, spatial thinking is a big component of advanced mathematical studies too. As Jones (2001:55) points out, "Much of the thinking that is required in higher mathematics is spatial in nature. Einstein's comments on thinking in images are well known. Numerous mathematicians report using spatial…

Standard classroom tests tend to showcase what students know at that point in time and do not usually reflect real-life mathematics. They are not always accurate indicators of what students understand and how they understand it. Portfolios are tools that allow students a better opportunity to exhibit mathematical growth in understanding and…

Math experts developed Formative Assessment Lessons that teachers can incorporate throughout the year's curriculum. Both tools target the "instructional core." A study by Research for Action (RFA) examining the first year of piloting the Literacy Design Collaborative (LDC) and Math Design Collaborative (MDC) tools (2010-11) found…

Research studies have shown that students encounter difficulties in transitioning from arithmetic to algebra. Errors made by high school students were analyzed for patterns and their causes. The origins of errors were: intuitive assumptions, failure to understand the syntax of algebra, analogies with other familiar symbol systems such as the…

This study examines the effects of representational movement on long-term retention and recollection of academic content. The researcher hypothesized that students who used representational movement to elaborate on their understanding of chemical equations would demonstrate improved long-term ability to solve chemical equations. The study…

Students struggling with mathematics may benefit from early interventions aimed at improving their mathematics ability and ultimately preventing subsequent failure. This guide provides eight specific recommendations intended to help teachers, principals, and school administrators use Response to Intervention (RtI) to identify students who need…

At Richardson Independent School District (RISD), 7th and 8th grade students who used TI MathForward achieved higher scores on the Texas Assessment of Knowledge and Skills (TAKS) Mathematics than similar 7th and 8th grade students who used other mathematics programs during previous years. This study found evidence that the strongest application of…

There is an increased interest in finding connections with mathematics and areas outside mathematics such as hard and soft sciences. This increased interest reflected in many of curriculum reforms that took place during the past few decades including the one in Turkish elementary and secondary mathematics education. Hence we believe that Turkish…

This article describes how the story of Alice in Wonderland helps students understand the operation of multiplying by a rational number less than 1 and related aspects of ratio and proportion. Included with this article is a "How Tall Is Alice?" Worksheet. (Contains 1 table and 6 figures.)

This article proposes an instructional idea where students can figure out an individual's secret personal information using the power of mathematics, particularly the power of algebraic thinking. The proposed examples in this article start with a personalized context that other people do not know and end up with generalized patterns of solutions.…

In many mathematics classes, students are asked to learn via the discovery method, in the hope that the intrinsic beauty of mathematics becomes more accessible and that making conjectures, forming hypotheses, and analyzing patterns will help them compute fluently and solve problems creatively and resourcefully (NCTM 2000). The activity discussed…

In this article, the author presents some interesting geometric fallacies that were used in a problem-solving course for preservice high school mathematics teachers. He states that presenting these fallacies in ordinary math classes can enrich the class by making the students think hard about both the theorems themselves and the steps in the proof…