In this paper we report on some patterns of reasoning, which emerged during an activity of proving a mathematical statement performed by nine grade and university mathematics students. The statement in question involves drawing figures, working in arithmetic and in algebra. As for secondary students we detected fluency, flexibility and ability of…

Rita is a Pacific island grade 2 teacher in a local village school. She has established a 90-minute daily literacy block in which she focuses on literacy-related activities. As she sits with her students during the literacy block, she realizes some of them are having difficulty comprehending text, and many are unable to retell the stories…

Everyone talks about "best practice" teaching--what does it actually look like in the classroom? How do working teachers translate complex curriculum standards into simple, workable classroom structures that embody exemplary instruction--and still let kids find joy in learning? In this book, the authors present seven basic teaching structures that…

An action research project was developed and implemented using student self monitoring of higher order thinking skills and task management to improve the music skills of a fifth grade beginning band (n=30) from a small middle school located in a rural midwest village. Evidence of the problem was documented with a performance test, a written test,…

The proceedings of the 24th annual meeting of the Psychology of Mathematics Education North American Chapter (PME-NA) contains research reports, plenaries, and poster presentations. Papers include: (1) "What Do We Believe about Teacher Learning and How Can We Learn With and From Our Beliefs?" (Deborah Loewenberg Ball); (2) "Toward Evidence for…

Social scientists emphasize reading as one way of obtaining knowledge and skills together with other approaches such as visiting museums and observing purposeful items. Then too, they emphasize using a variety of approaches in helping students achieve worthwhile objectives in terms of knowledge, skills, and attitudes. A quality social studies…

This study examined trends in student achievement on the American College Testing Program (ACT) Mathematics and Science Reasoning tests, as well as trends in percentages of students taking a core curriculum and expressing an intent to major in a mathematics- or science-related field. The data on which analyses were conducted consisted of all valid…

This bulletin offers guidelines to help parents and teachers improve the thinking skills of gifted children. It stresses the importance of encouraging thinking through the use of evocative questions, distinguishes between and defines critical thinking and creative thinking, and offers suggested questions to prompt either creative/divergent…

This study examined meta-cognitive strategies utilized by bilingual, Hispanic 6th graders from three Chicago public schools that had embraced a staff development initiative designed to help increase Hispanic students' reading comprehension levels. The Strategic Teaching and Reading Project (STRP) emphasizes five basic comprehension strategies:…

The focus in this study was on science achievement measures and their relationships to three reasoning dimensions: basic knowledge and reasoning, spatial-mechanical reasoning, and quantitative science reasoning. Thirty multiple-choice items, 8 constructed response items, and 3 performance assessments, each nominally assigned to 1 of the reasoning…

This paper analyses a case study of a pair of students working together, who were asked to produce conjectures and to validate them within the dynamic geometry environment Cabri. Our aim is to scrutinize the students' reasoning, how the gap from perception to theory is filled, how Cabri influences the reasoning. We have singled out a sequence of…

The focus of this study was to investigate mental computation conceptual frameworks that Heirdsfield (2001c) formulated to explain the difference between proficient (accurate and flexible) mental computers and accurate (but not flexible) mental computers. A further aim was to explore the potential for students' developing efficient mental…

A recent five-state project, the National Forum on College-Level Learning, has demonstrated that learning, higher education's most important product, can be assessed in ways that make interstate comparison possible, that these assessments are consistent with other information known about the states, and that the results can be useful to…

This practical resource offers more than 40 strategies that teachers in all content areas can use to help students--including English learners and struggling readers--understand new words, phrases, and concepts. Far more than best means of teaching specific words, these strategies will tap students' curiosity, engage and empower them, develop…

This paper provides materials for a teacher workshop on the application of scientific processes across the curriculum. The approach is based on Taba's Inductive Model, and these materials contain sections on the purposes of Taba's model, teaching strategies used in Taba's model, the concept formation process, interpretation of data, application of…