This working group continues to develop a research program on the practice of launching mathematical tasks and its resulting impact on learners. Our research agenda contains two strands of inquiry exploring (1) theory and framework building concerning effective launches and (2) empirical examination of the link between launching and opportunities…

New strategies can ignite teachers' imagination to create new lessons or adapt lessons created by others. In this article, the authors present the experience of an algebra teacher and his students solving linear and literal equations and explain how the use of ideas found in past NCTM journals helped bring this lesson to life. The…

Many types of learning require the mapping of information across situations. The proposed organizational framework extends the cognitive study of mappings across problems to include mappings across representations, solutions, and sociocultural contexts. I apply one-to-one, one-to-many, and partial mappings to analyze representative cases that…

Joyce VanTassel-Baska is the Executive Director of the Center for Gifted Education and the Jody and Layton Smith Professor of Education at the College of William & Mary, Williamsburg, Virginia. For the past 20 years, the Integrated Curriculum Model, based on research of what works with gifted learners, has been the foundation of curriculum…

This research tends to make the experimental study on the mathematics teaching model of "situated creation and problem-based instruction" (SCPBI), namely, the teaching process of "creating situations--posing problems--solving problems--applying mathematics". It is aimed at changing the situation where students generally lack…

School subjects are analogous to medieval alchemy. There is a magical change as mathematics, science, and social sciences move from their disciplinary spaces into the classroom. The educational and social psychologies have little or nothing to do with understanding disciplinary practices. They are intellectual inventions for normalizing and…

Teaching is a complex, ongoing endeavor that involves a myriad of decisions. NCTM's Sixty-Sixth Yearbook is organized around three aspects of teaching: foundations for teaching, the enactment of teaching, and the support of teaching nurtured in preservice education and strengthened throughout a teacher's career. The accompanying professional…