In looking at successful inquiry activities, patterns in pedagogical approach emerge (Meyer et al. 2011). This article discusses one such approach--the design challenge. A design challenge can be defined as an activity in which students are given an explicit task to create a product that meets a defined goal. However, simply asking students to…

There is a call for enabling students to use a range of efficient mental and written strategies when solving addition and subtraction problems. To do so, students should recognise numerical structures and be able to change a problem to an equivalent problem. The purpose of this article is to suggest an activity to facilitate such understanding in…

This discussion-based lesson is designed to support Year 6 students in their initial understanding of using letters to represent numbers, expressions, and equations in algebra. The three level framework is designed for: (1) making thinking explicit, (2) exploring each other's solutions, and (3) developing new mathematical insights. In each level…

Family learning means any learning that includes children and adult members of their family, and where there are outcomes for both child and adult. Learning activities may be formal or informal, and can take place in a range of contexts and venues. Good family learning experiences are characterised by well-planned programmes, with good or…

By the time they reach middle school, all students have been taught to add fractions. However, not all have "learned" to add fractions. The common mistake in adding fractions is to report that a/b + c/d is equal to (a + c)/(b + d). It is certainly necessary to correct this mistake when a student makes it. However, this occasion also…

Oliver Herring, the creator of TASK, defines it as: "[a]n improvisational event with a simple structure and very few rules... TASK's open-ended, participatory structure creates almost unlimited opportunities for a group of people to interact with one another and their environment. TASK's flow and momentum depend on the tasks written and…

Despite the importance of teachers' conception of effective problem-solving instruction, limited attention is given to this area in the current literature. In this study we examined 96 preservice teachers' (PSTs) views on effective problem-solving instruction and how their conceptions are related and reflected in their views on problem solving and…

The Social and Emotional Learning (SEL) Challenge was designed to identify promising practices for building skills in six areas: (1) emotion management; (2) empathy; (3) teamwork; (4) initiative; (5) responsibility; and (6) problem solving. The SEL Challenge selected eight top out-of-school programs that not only make a commitment to SEL, but have…

Creativity can and should play a role in students' science experiences. Beghetto ("Roeper Review" 29(4):265-270, 2007) suggested a framework for teachers to assist students in transforming their creative ideas into creative products. This framework involves taking time to listen to students' ideas, helping them recognize the constraints…

This study discusses aspects of the association between Mathematical Modeling (MM) and Big Data in the scope of mathematical education. We present an example of an activity to discuss two ontological factors that involve MM. The first is linked to the modeling stages. The second involves the idea of pedagogical objectives. The main findings…

This article looks at a simple geometry problem that also involves some reasoning about number combinations, and show how it was used in a Year 7 classroom. The problem is accessible to students with a wide range of abilities, and provides scope for stimulating extensive discussion and reasoning in the classroom, as well as an opportunity for…

Since 1950, the Prisoner's Dilemma has intrigued economists and amused fans of mathematics. It presents a situation in which two players acting to their own advantage do not do as well together as two players whose actions oppose their individual interests--hence, the dilemma. Variations of the Prisoner's Dilemma have appeared in diverse…

Student learning communities (SLCs) are more than just a different way of doing group work. Like the professional learning communities they resemble, SLCs provide students with a structured way to solve problems, share insight, and help one another continually develop new skills and expertise. With the right planning and support, dynamic…

This article is the result of research aims to describe the patterns and characteristics of the process of metacognition student of mathematics in solving calculus problems. Description was done by looking at changes in "awareness," "evaluation," and "regulation" as components of metacognition. The changes in…

Course: This assignment is a unit activity designed for use in a skills-focused undergraduate public relations, organizational communication, or crisis communication course. Objective: The goal of this activity is to increase students' understanding of and ability to apply discourse of renewal in a crisis scenario. Students will work…