The desire to persuade students to avoid strictly memorizing formulas is a recurring theme throughout discussions of curriculum and problem solving. In combinatorics, a branch of discrete mathematics, problems can be easy to write--identify a few categories, add a few restrictions, specify an outcome--yet extremely challenging to solve. A lesson…

A teacher's objective is to provide students the cognitive strategies that enable them to think critically, make decisions, and solve problems. In order to guide student learning, teachers should be aware of the concepts that are prerequisite to the understanding of others and also of typical student misconceptions. The goal of this study was to…

This article discusses how the key players' multilayered collaboration may be enacted by the Change Laboratory methodology in the footsteps of Virkkunen and Newnham (2013) to address a complex issue for the benefit of adolescents. It can be defined as a group processing approach used by a group to solve a problem of its own defining. Over six…

Group work is becoming increasingly common in introductory physics classrooms. Understanding how students engage in these group learning environments is important for designing and facilitating productive learning opportunities for students. We conducted a study in which we collected video of groups of students working on conceptual electricity…

The ability to innovate is an important requirement in many organisations. Despite this pressing need, few selection systems in healthcare focus on identifying the potential for creativity and innovation and so this area has been vastly under-researched. As a first step towards understanding how we might select for creativity and innovation, this…

The current study examines whether the engagement of mathematics teachers in modelling activities and subsequent changes in their conceptions about these activities affect their beliefs about mathematics. The sample comprised 52 mathematics teachers working in small groups in four modelling activities. The data were collected from teachers'…

Structured problem-solving lessons are used to explore mathematical concepts such as pattern and relationships in early algebra, and regularly used in Japanese Lesson Study research lessons. However, enactment of structured problem-solving lessons which involves detailed planning, anticipation of student solutions and orchestration of whole-class…

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…

In mathematics, there is conceptual and procedural knowledge. Conceptual knowledge is about ideas or mathematics understanding but procedural knowledge is about procedure to solve mathematics problems. Multisensory approach involve many senses like kinaesthetic, visual and auditory to gain knowledge. This research aims to find information about…

Mathematics is not just memorized facts, but rather it is understanding how to approach and solve problems, and problem-solving requires linguistic proficiency. Too often, English learners' (ELs) relatively low math performance is dismissed due to their supposed "limited" English proficiency. Taking this perspective, a constructivist…

Background: In science education today, there is an emerging focus on what is happening in situ, making use of an array of analytical traditions. Common practice is to use one specific analytical framing within a research project, but there are projects that make use of multiple analytical framings to further the understanding of the same data,…

This study compared students' learning in troubleshooting and problem solving activities. The troubleshooting activities provided students with solutions to conceptual problems in the form of refutation texts; namely, solutions that portray common misconceptions, refute them, and then present the accepted scientific ideas. They required students…

I examined the impact of a self-diagnosis activity on students' conceptual understanding and achievements in physics. This activity requires students to self-diagnose their solutions to problems that they have solved on their own--namely, to identify and explain their errors--and self-score them--that is, assign scores to their solutions--aided by…

A critical issue in teacher education is the ongoing support and professional development of novice teachers. This study explores a professional development project, "Reconnect and Recharge," for newly inducted teachers. Participants met three to four times during the school year from 2009 to 2013 to explore their teaching successes and…

This thesis examines children's thinking, learning and metacognition when designing their own computer games. The study aims to understand more about what kind of learning takes place, and how it emerges whilst children are authoring their own computer games. The aim is to get an insight into the cognitive processes students exercise that…