Seeds of Algebraic Thinking comes from the Knowledge in Pieces (KiP) perspective of learning. KiP is a systems approach to learning that stems from the constructivist idea that people learn by building on prior knowledge. As people experience the world, they acquire small, sub-conceptual knowledge elements. When people engage in a particular…

We offer an analysis of calculus assessment items that highlights ways to evaluate students' application of important meanings and support their engagement in generative ways of reasoning. Our central aim is to identify characteristics of items that require students to apply their understanding of key ideas. We coordinate this analysis of…

Written instructions seldom need to be read when playing videogames. Instead, gaming often involves early information foraging and expansive exploration behaviors. We use data from the Programme for International Student Assessment (PISA) to explore whether students who regularly play videogames (daily gamers) adopt behaviors that are typical of…

Courses: Intercultural Communication. Objectives: Students will achieve the following learning outcomes--(1) demonstrate knowledge of intercultural systems by identifying roots of intercultural communication conflict, (2) address intercultural problems by taking action within the context of their own lives, (3) collaborate with peers to problem…

While reading, writing, and arithmetic remain important, they are no longer enough. For learners to thrive, they must move beyond traditional literacies to modern fluencies--the unconscious mental processes that are learned, adapted, and applied in the context of real-world problems and challenges. In this book, the authors unpack the fluencies…

We report here a teacher action research project in which a Systems Thinking approach was implemented into a 15 h Depth Study for students in their final year of secondary chemistry. Students were introduced to the concept of Systems Thinking and the use of systems maps, along with the United Nations Global Goals for Sustainable Development…

Proficiency in mathematics involves the seamless synchronization of conceptual understanding, procedural knowledge, computational fluency, and problem solving (NMAP, 2008). Clearly, fluency with mathematics facts is one element embedded within mathematical proficiency and important for students with disabilities to develop. As more and more…

This is a step-by-step guide to offering role plays that give learners practice in describing a problem, asking for advice, giving advice--and giving and receiving feedback from peers. The article includes numerous sample prompts.

According to Autism New Zealand (n.d.) there are approximately 65,000 New Zealanders with an Autism Spectrum Disorder (ASD). Despite this prevalence, Goodall (2014) notes "…teachers are still on a long journey to full acceptance of students on the autism spectrum as learners with potential" (p. 133). This research review considers three…

Recent research in problem solving has shifted its focus to actual classroom implementation and what is really going on during problem solving when it is used regularly in classroom. This book seeks to stay on top of that trend by approaching diverse aspects of current problem solving research, covering three broad themes. Firstly, it explores the…

Improving students' psychological literacy has become a key part of the new British Psychological Society accreditation. This is fuelling an emphasis on helping students to apply their degree knowledge critically and innovatively, both to enhance their chances in a competitive job market and to give them the skills to make a real-world difference.…

Many teachers experience the tension between using published curriculum materials and teaching in ways that are responsive to children. Teachers are often expected to use a particular mathematics curriculum series, but they still want to be able to build on and connect to children's multiple mathematical knowledge bases (MMKB).…

This guidance report focuses on the teaching of mathematics to pupils in Key Stages 2 and 3. It is not intended to provide a comprehensive guide to mathematics teaching. We have made recommendations where there are research findings that schools can use to make a significant difference to pupils' learning, and have focused on the questions that…

Individual creativity is ubiquitous. New technologies both enable and urge fresh approaches to creativity in the context of education. University-level education offers a natural place to adjust pedagogical structures in favor of a more individual approach to learning that organizes the intellectual community into new patters of interaction and…

This study investigated mathematics teachers' professional knowledge among elementary school teachers exposed to a professional training program that either supported self-regulated learning (SRL) or offered no SRL support (no-SRL). The SRL support was based on the IMPROVE metacognitive self-questioning method that directs students' attention to…