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Direct linkNational Council of Teachers of Mathematics, 2015
Do your students think a triangle can be constructed from any three given line segments? Do they believe that a transformation affects only the pre-image--not the whole plane? Do they understand that examples--no matter how many they find--cannot prove a conjecture but one counterexample is sufficient to disprove it? "What tasks can you…
Descriptors: Geometry, Educational Practices, Secondary School Mathematics, Pedagogical Content Knowledge
Fuson, Karen; Clements, Douglas; Beckmann, Sybilla – National Council of Teachers of Mathematics, 2010
"Focus in Grade 1: Teaching with Curriculum Focal Points" describes and illustrates learning paths for the mathematical concepts and skills of each grade 1 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate…
Descriptors: Mathematics Curriculum, Mathematical Concepts, Grade 1, Misconceptions
Schielack, Jane – National Council of Teachers of Mathematics, 2010
This book describes and illustrates learning paths for the mathematical concepts and skills of each grade 8 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate understanding, stimulate productive discussions about…
Descriptors: Mathematics Curriculum, Grade 8, Misconceptions, Mathematics Instruction
Lapp, Diane, Ed.; Moss, Barbara, Ed. – Guilford Publications, 2011
Offering fresh alternatives to common instructional practices that fail to get results, this accessible, highly practical guide highlights ways to motivate middle school students while enhancing content-area learning. Each chapter features an enlightening case study of a teacher whose current strategies are not supported by research; describes…
Descriptors: Adolescent Literature, Writing Across the Curriculum, Visual Arts, Written Language
Syrja, Rachel Carrillo – Jossey-Bass, An Imprint of Wiley, 2011
This book provides practical strategies and tools for assessing and teaching even the most hard to reach English language learners across the content areas. Syrja offers educators the latest information on working with ELLs (including using formative assessments) and provides a wealth of classroom-tested models and measures. These tools have…
Descriptors: Second Language Learning, English (Second Language), Teaching Methods, Success
