This article aims to describe a type of formative assessment, MAP Classroom Challenge, which has been introduced in mathematics classrooms in recent years. MAP, or the Mathematics Assessment Project Classroom Challenges (formerly known as Formative Assessment Lessons), are developed by teams of math educators from the Shell Centre for Mathematical…

It is important to avoid ambiguity with numbers because unfortunate choices of numbers can inadvertently make it possible for students to form misconceptions or make it difficult for teachers to tell if students obtained the right answer for the right reason. Therefore, it is important to make sure when introducing basic summary statistics that…

The Newtonian force concept is very difficult for introductory students to learn. One obstacle to learning is a premature focus on gravity-driven motions, such as vertical free fall, rolling motion on an inclined plane, and the Atwood's machine. In each case, the main agent of motion ("gravity") cannot be seen, heard, or controlled by the student.…

This opinion statement points out some of the considerations and pitfalls in using virtual reality computer programs in the teaching of life sciences. Emphasis is placed on the possibility of such programs leading to reductionist thinking including how reductionist thinking could foster the formation of misconceptions. Negative feedback is used as…

We all have misconceptions about the world in which we live--how it works, how we interact with it, how it changes, and the reasons behind those changes. These misunderstandings are personal notions we create to make meaning of our surroundings. Often, these misunderstandings go unchallenged for a lifetime. This article addresses how these…

Lorna Quinnell and Merrilyn Carter examine the use of symbols in teaching mathematics and outline the difficulties students experience in "reading symbols and abbreviations." We are sure teachers will appreciate the way the authors have examined the use of symbols and abbreviations in NAPLAN testing and organized them into five distinct…

Formative assessment probes are effective tools for uncovering students' ideas about the various concepts they encounter when learning science. They are used to build a bridge from where the student is in his or her thinking to where he or she needs to be in order to construct and understand the scientific explanation for observed phenomena.…

A "Framework for K-12 Science Education"'s disciplinary core idea PS1.A states that students should know by the end of grade 2 that different kinds of matter exist and many of them can be solid or liquid, depending on temperature (NRC 2012). By the end of grade 8, they describe solids, liquids, and gases by the arrangement and…

This article describes beginner habits and misconceptions related to design practices. Once teachers are aware of these habits and misconceptions, they can more easily recognize them and work to remedy them through instruction. Presented herein are eight practice habits. Each item begins with the practice, describes a related design habit or…

Teaching economics to elementary aged children can be a challenge for classroom teachers. Using popular children's literature is an engaging and fun way to involve students in learning important economic lessons while integrating the content with language arts standards. This article will describe how to use children's books to teach economic…

As children develop misconceptions about animals they believe are dangerous, they also adopt attitudes that are difficult to change. Changing these attitudes is challenging for teachers. One animal that is easy to find but difficult for children to understand is a spider. As with most wild animals, they are difficult to teach about because…

A major source of difficulties in promoting students' understanding of genetics lies in the presentation of gene concepts and models in an inconsistent and largely ahistorical manner, merely amalgamated in hybrid views, as if they constituted linear developments, instead of being built for different purposes and employed in specific contexts. In…

Heat transfer is widely taught in secondary Earth science and physics. Researchers have identified many misconceptions related to heat and temperature. These misconceptions primarily stem from hunches developed in everyday life (though the confusions in terminology often worsen them). Interactive computer simulations that visualize thermal energy,…

Playing games in the mathematics classroom has seemingly become unfashionable. Is it that games suddenly are regarded as "lacking in purpose"? Maybe games are seen as incompatible with the "lesson plan and objectives"? Or is it that games and learning are not two words that are expected to appear in the same sentence? Prepare for the mythology…

Comparing multiple solutions to a single problem is an important mode for developing flexible mathematical thinking, yet instructionally leading this activity is challenging (Stein, Engle, Smith, & Hughes, 2008). We test 1 decision teachers must make after having students solve a problem: whether to only verbally discuss students' solutions or…