Too often, professional development (PD) sessions consist of little more than delivering lists of things teachers should know and should be doing. There is little to no follow up. There are few opportunities to think about how to adapt and apply the learning to fit your own classroom context, or to try it out and compare outcomes with fellow…

The College, Career, and Civic Life (C3) Framework for Social Studies State Standards calls upon social studies teachers to enhance the rigor of civics, economics, geography, history and the other social studies disciplines while building the critical thinking, problem solving, and participatory skills of students to help them become actively…

Both writing and math require purposeful teaching. This article describes how one teacher discovered that she could teach math in a way that paralleled how she taught writing by researching what students know and then nudging them ahead to the next level of understanding. Just as effective writers employ creativity, perseverance, and revising,…

Fraction division is generally introduced in sixth or seventh grade with this rule: "Invert and multiply." The authors examined current commercial curricula and found that few textbooks use context as a way to build meaning for the division of fractions. When context is used, the connection between the invert-and-multiply rule and the context is…

Many teacher educators have enthusiastically embraced case-based instruction in teacher education programs. However, the research base is equivocal on whether preservice and in-service teacher educators' case-based reflections on educational issues are comprehensive and critical. This study explores the use of a metacognitive strategy--the case…

Measurement is a mathematics skill students encounter often in their daily lives. The act of measuring involves the use of concrete, hands-on materials that students find engaging and appealing. According to Martinie (2004), the best way to teach measurement "is to find or create situations in which students need to measure and let them…

The universities and faculties which educate teachers of mathematics for teaching pupils/students of any age group from pre-school age to higher education carefully monitor and compare valuable results of this research, detect the areas in which the mathematical achievements of pupils should be improved at the national level and propose the ways…

The purpose of this study was to examine how early childhood pre-service teachers developed professionally through reflective journals. The study focused on the quality of reflection and the effects of reflection on pre-service teachers' professional development. Thirty-two students, majoring in early childhood education, were participated in this…

Teaching can be understood as acting and deciding in a complex system. On that problem oriented mathematics instruction (POMI) can be characterized as very high complex particularly regarding to mathematical-cognitive aspects. To cope with resulting demands in the long run, the teacher has to be sensitive for this complexity. But what does this…

This collection of papers delves into reflection as a concept and provides specific, replicable tools for professional practice. Each chapter draws on a particular school situation, demonstrating the value of teacher reflection and describing the nuts and bolts of the process, offering protocols for handling many different circumstances. After…

In this narrative of teacher educator action research, the idea for and the context of the lesson emerged as a result of conversations between Shelly, a mathematics teacher educator, and Lisa, a quilter, about real-life mathematical problems related to Lisa's work as she created the templates for a reproduction quilt. The lesson was used with…

This teacher's guide is to enable the teacher to promote thinking through the use of geography. The book lays out the rationale in learning theory for an issues-based, question-driven inquiry method and proceeds through a simple model of progression from identifying key questions to developing generalizations. Students study issues of geographic…

In this self-study of a secondary teacher education course, the authors investigated whether there was evidence of critically reflective problem solving on the part of prospective teachers who participated in a peer-led online discussion of a teaching case about English-language learners. They also examined what approaches to multicultural…

This book supports primary teachers' early professional development and learning, tackling key questions and concerns that new teachers might face in their early careers, such as: How will I get through the first term? When will I feel like a "real" teacher? What can I expect from my first years in teaching? Drawing on the experiences of beginning…

The purpose of the documents in this series is to provide educators in Saskatchewan with practical and relevant guides to teaching and learning as a means of expanding or refining teaching repertoires. This booklet explores reflection, a form of problem solving in which one tries better to understand and solve problems or concerns of personal…