When thinking about measurement uncertainty in a laboratory experiment that features quantum mechanical effects, it is important to consider both the physical principles of underlying quantum theory (e.g., the uncertainty due to quantum mechanical superposition states) as well as the limitations of the measurement (e.g., the spread in outcomes due…

Research in both the New Zealand and international contexts identifies the need for New Zealand classrooms to foster culturally responsive and mathematical practices that align with Påsifika students' cultural values, backgrounds, interests and experiences. The aim of this study was to investigate how the use of culturally responsive tasks along…

Children's literature can provide useful contexts for teaching mathematics. In this article, the authors discuss the use of the children's book "Measuring Penny" (Leedy 1997) to support Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) related to length measurement. The authors first describe three types of misconceptions…

More teachers are trying out the flipped classroom model in which content is delivered outside of class time, typically through online videos and "homework," and follow-up activities are done in class. This model frees up more class time for inquiry and discussion. This article focuses on the self-learning portion of the flipped learning…

Learning curves have proven to be a useful tool for understanding how a student learns a given skill as they progress through a curriculum. A learning curve for a given Knowledge Component (KC) is a plot of some measure of competence as a function of the number of opportunities the student has had to apply that KC. Consider the case where each…

Researchers invested in K-12 education struggle not just to enhance pedagogy, curriculum, and student engagement, but also to harness the power of technology in ways that will optimize learning. Online learning platforms offer a powerful environment for educational research at scale. The present work details the creation of an automated system…

The study tested three theoretically/conceptually hypothesized longitudinal models of academic processes leading to academic performance. Based on a longitudinal sample of 1866 high-school students across two consecutive years of high school (Time 1 and Time 2), the model with the most superior heuristic value demonstrated: (a) academic motivation…

The purpose of this booklet is to make it easier for the parent to help his/her child learn the metric system. Contents include: (1) answers to most-asked questions of parents; (2) introduction to metric units; (3) converting from one unit to another within the metric system; (4) a reference table; and (5) a chart entitled "All You Will Need to…

Presents two ideas to help beginning mathematics teachers. The first presents a way to record and grade homework. The second suggests a manipulative to help students understand the trigonometric concept of reference angle. (MDH)

This experiential exercise presents the concept of the Balanced Scorecard (BSC) and applies it in a university setting. The Balanced Scorecard was developed 12 years ago and has grown in popularity and is used by more than 50% of the Fortune 500 companies as a performance measurement and strategic management tool. The BSC expands the traditional…

This book is written to answer commonly asked homework questions of fourth, fifth, and sixth graders. Included are facts, charts, definitions, explanations, examples, and illustrations. Topics include ancient number systems; decimal system; math symbols; addition; subtraction; multiplication; division; fractions; estimation; averages; properties;…

This document describes an experimental program which is designed to help students from grade 5 to grade 7 who are working at or slightly below grade level maintain mathematics skills. Students receive nine home-study packets containing two to four lessons each. Parents must make a commitment to supervise the home-study. The 25 lessons presented…

This document describes an experimental program which is designed to help students from grade 5 to grade 7 who are working at or slightly below grade level maintain mathematics skills. Students receive nine home-study packets containing two to four lessons each. Parents must make a commitment to supervise the home-study. The 25 lessons presented…

Presents three teaching ideas: (1) a scoring rubric to assess students' ability to communicate attempts at solving homework problems; (2) a three-part measurement activity using trigonometry, maps, and compasses to locate hidden treasure; and (3) a demonstration of the effects of numerical coefficients on graphs of quadratic functions. (MDH)

In 1990, the National Assessment of Educational Progress (NAEP) included a Trial State Assessment which, for the first time in the NAEP's history, made voluntary state-by-state assessments. This 1992 mathematics report marks the first attempt of the National Center for Education Statistics to shift to standards-based reporting of National…