000			05558nam a22004697a 4500
003			phtghnu
005			20250519143955.0
007			ta
008			220223s2023 nyua b 001 0 eng
010			_a 2021061454
020			_a9781032028453 _q(paperback)
040			_beng _erda _cHNU
042			_apcc
050	0	0	_aQA137 _b.P47 2023
082	0	0	_223 _3GC _a372.72 F68 _b2023
245	1	2	_aA focus on fractions : _bbringing mathematics education research to the classroom / _cMarjorie M. Petit, Robert E. Laird, Caroline B. Ebby, and Edwin L. Marsden.
250			_aThird edition.
264		1	_aNew York, NY : _bRoutledge, Taylor & Franics Group, _c2023
300			_axiii, 215 pages : _billustrations (black and white) ; _c26 cm.
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
490	0		_aStudies in mathematics thinking and learning
504			_aIncludes bibliographical references (pages 209-211) and index.
505			_aUnderstanding a Fraction as a Number Developing Understanding of Fractions Through Visual Models What Is the Whole? Equipartitioning Understanding the OGAP Fraction Framework and Progression Using the OGAP Fraction Progression to Inform Instruction and Support Student Learning Equivalence Comparing and Ordering Number Lines and Fractions The Density of Fractions Addition and Subtraction of Fractions Multiplication and Division of Fractions
520			_a"The third edition of this book offers a unique approach to making mathematics education research on the teaching and learning of fraction concepts readily accessible and understandable to pre-service and in-service K-8 mathematics teachers. Revealing students' thought processes with extensive annotated samples of student work and vignettes characteristic of classroom teachers' experience, this book provides teachers a research-based lens to interpret evidence of student thinking, inform instruction and ultimately improve student learning. Based on research gathered in the Ongoing Assessment Project (OGAP), and updated throughout, this engaging and easy-to-use resource also features: Two new chapters dedicated to understanding the OGAP Fraction Framework and Progression - based on research conducted with hundreds of teachers - to gather and interpret evidence of student learning along a learning progression, referenced throughout the book so readers can apply the concepts to their instruction; A close focus on student work, including 180+ annotated pieces of student work, to help teachers improve their ability to recognize, assess, and monitor their students' errors and misconceptions, as well as their developing conceptual understanding; A discussion of decimal fractions, also new to the third edition; In-chapter sections on how Common Core State Standards for Math (CCSSM) are supported by math education research; End-of-chapter Looking Back questions to allow teachers to analyze student thinking and consider instructional strategies for their own students; Instructional links to help teachers relate concepts from each chapter to their own instructional materials and programs; Accompanying online Support Material includes an answer key to Looking Back questions, as well as a copy of the OGAP Fraction Framework and Progression. A Focus on Fractions is part of the popular A Focus on... collection, designed to aid the professional development of pre-service and in-service mathematics teachers. As with the other volumes on addition and subtraction, ratios and proportions, and multiplication and division, this updated new edition bridges the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions. Marjorie M. Petit has provided leadership in the development and ongoing implementation of the Ongoing Assessment Project (OGAP) and is a partner in OGAPMath LLC. Robert E. Laird is Co-director of Teaching, Learning, and Research for the Vermont Mathematics Institute (VMI), USA. Bob is a OGAP National Facilitator and a partner in OGAPMath LLC. Caroline B. Ebby is Senior Researcher at the Consortium for Policy Research in Education (CPRE) and an Adjunct Associate Professor at the Graduate School of Education at the University of Pennsylvania, USA. Caroline is a National OGAP Facilitator. Edwin L. Marsden was a Professor of Mathematics and former chair of the Department of Mathematics at Norwich University, USA"-- _cProvided by publisher.
521			_aCoED _bBachelor of Secondary Education major in Mathematics
546			_aIn English
650		0	_aFractions _xStudy and teaching (Elementary)
650		0	_aFractions _xStudy and teaching (Middle school)
650		0	_aRatio and proportion _xStudy and teaching (Elementary)
650		0	_aRatio and proportion _xStudy and teaching (Middle school)
650		0	_aNumber concept in children.
700	1		_aPetit, Marjorie M., _eauthor.
700	1		_aLaird, Robert E., _eauthor.
700	1		_aEbby, Caroline B., _eauthor.
700	1		_aMarsden, Edwin L., _eauthor.
906			_a7 _bcbc _corignew _d1 _eecip _f20 _gy-gencatlg
942			_2ddc _cBK _h300-399
999			_c138914 _d138914