This book argues that mathematical challenge can be found at any level and at every age and constitutes an essential characteristic of any mathematics classroom aimed at developing the students' mathematical knowledge and skills. Since each mathematics classroom is heterogeneous with respect to students' mathematical potential, quality…

The content, skills, and understandings students need to learn today are as diverse, complex, and multidimensional as the students in our classrooms. How can educators best create the learning experiences students need to truly learn? "How Learning Works: A Playbook" unpacks the science of how students learn and translates that knowledge…

A discussion of language acquisition assumes that lexicon plays a central role, and that the principles of conventionality and contrast are also essential. It examines the hypotheses children draw on about possible word meanings and how they map their meanings into forms. This process begins with children's emerging knowledge of conventional words…

A collection of essays on second language vocabulary learning includes: "Historical Trends in Second Language Vocabulary Instruction" (Cheryl Boyd Zimmerman); "The Lexical Plight in Second Language Reading: Words You Don't Know, Words You Think You Know, and Words You Can't Guess" (Batia Laufer); "Orthographic Knowledge in L2 Lexical Processing: A…