In particular, al though math anxiety is rampant among elementary school teachers. Following the smallgroup discussions on the preworkshop assignment from liping mas book knowing and teaching elementary mathematics 1999, a panel set the stage for thinking about the two overarching questions that were the focus of the workshop what is the mathematical knowledge teachers need to know to teach well. Mar 20, 2009 knowing and teaching elementary mathematics book. Liping ma, knowing and teaching elementary mathematics, anniversary edition 2010, routledge. Producing a portrait of dramatic differences between the two groups, ma. Liping ma brings new insight to the teaching of certain core issues. Mar 26, 2010 knowing and teaching elementary mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in china than in the united states, despite the fact that chinese teachers have less formal education than their u. Pdf liping ma, knowing and teaching elementary mathematics. Teachers understanding of fundamental mathematics in china and the united states by liping ma. Feb 19, 2010 knowing and teaching elementary mathematics is an important book. Liping mas research the book is based on her dissertation at standford university, shows how math teachers in the us consistently demonstrate a fragmented, shallow understanding of math concepts in comparison to their chinese.

Fundamental mathematics in china and the united states. How liping ma s knowing and teaching mathematics entered the u. Each of the first four chapters opens with a standard topic in elementary. To fully promote mathematics learning, teachers must first have a profound understanding of fundamental mathematics. Teachers understanding of fundamental mathematics in china and the united states. For those interested in improving precollege mathematics education in the u. To explain why one needs to borrow 1 ten from the tens place, these.

Knowing and teaching elementary mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in china than in the united states, despite the fact that chinese teachers have less formal education than their u. Everyday low prices and free delivery on eligible orders. Singapore knowing and teaching elementary math by liping. Knowing and teaching elementary mathematics teachers. It compares the pedagogical subject knowledge of teachers in the us and in china. Teachers understanding of fundamental mathematics in china and the united states, edition 2 ebook written by liping ma. Teachers understanding of fundamental mathematics in china and the united states article in educational studies in mathematics 421. This means that teaching it well requires much deeper mathematical knowledge than almost everyone has thought.

And then id write a problem on the board, and i would have bundles of sticks, as well, and i would. Which areas of elementary mathematics would you identify as your strengths and which ones as your weak. Teachers understanding of fundamental mathematics in china and the united states studies in mathematical thinking and learning series. There will be no math reform unless we provide teachers with the training, textbooks, time, and. Teachers understanding of fundamental mathematics in china and the united states studies in mathematical thinking and learning series pdf, you have definitely come to. Singapore knowing and teaching elementary math by liping ma. Do you believe that after taking college math courses, in particular, math 365 and math 366, you have a.

Knowing and teaching elementary mathematics by liping ma,humanistic mathematics network journal. Ma demonstrates the difference in teachers knowledge between china and the us in elementary mathematics. The central message of liping mas book is that, compared to their american counterparts, chinese teachers have a deeper and more coherent knowledge of elementary mathematics, which will be reflected in the relative mathematical achievement of chinese and american children. Pisa, indian students, elementary school mathematics, teacher. A must read for all primaryelementary school teachers. Teachers understanding of fundamental mathematics in china and the united states studies in mathematical thinking and learning series by liping ma pdf, epub ebook d0wnl0ad. Browsed through it on a couple of occasions, especially the chapter on dividing by fractions the descriptions of the depth knowing and teaching elementary mathematics liping ma understanding of the chinese teachers into various ways of presenting and teaching basic concepts of arithmetic was astounding to me. May 08, 2016 ive been reading liping ma s 1999 knowing and teaching elementary mathematics, very relevant to the moment, for teachers in or from. Teachers understanding of fundamental mathematics in china and the united states liping ma lawrence erlbaum associates, inc. Knowing mathematics is a smallgroup mathematics intervention program for fourth through sixthgraders who are two or more years below grade level. Pdf knowing and teaching elementary mathematics ole. Nov 03, 2018 browsed through it on a couple of occasions, especially the chapter on dividing by fractions the descriptions of the depth knowing and teaching elementary mathematics liping ma understanding of the chinese teachers into various ways of presenting and teaching basic concepts of arithmetic was astounding to me. Ma judged the group as a whole to be above average.

Teachers understanding of fundamental mathematics in china and the united states by liping ma article january 2010 with 74 reads how we measure reads. Knowing and teaching elementary mathematics by liping ma, 9780805829099, available at book depository with free delivery worldwide. Every school needs a staff development workshop examining this book and discussing the implications for maths teachers and teaching. Knowing and teaching elementary mathematics by liping ma. Liping ma, knowing and teaching elementary mathematics. In 1999, liping ma published her book knowing and teaching elementary mathematics. Pdf knowing and teaching elementary mathematics download. Department of mathematics university of toronto toronto, on m5s 3g3 liping ma, knowing and teaching elementary mathematics. Elementary school mathematics, it turns out, is not so elementary. What do you believe is the most important factor in teaching elementary mathematics. Feb 19, 2010 buy knowing and teaching elementary mathematics. Teachers understanding of fundamental mathematics in china and the united states studies in mathematical thinking and learning series 2 by ma, liping isbn. How liping mas knowing and teaching mathematics entered the u. If you have visited this website and you are looking to get by liping ma knowing and teaching elementary mathematics.

Using concrete examples from liping mas famous book, mathematician richard askey explores in this article from american educator what it takes to achieve deeper mathematics learning. These scenarios are followed by extensive discussion by teachers. She explains the reasons behind differences in student comprehension and performance both on standardized tests and in lifelong mathematical achievement. Using concrete examples from liping ma s famous book, mathematician richard askey explores in this article from american educator what it takes to achieve deeper mathematics learning. Liping ma was senior scholar at the carnegie foundation for advancement of teaching. Teachers understanding of fundamental mathematics in by liping ma paperback. Knowing and teaching mathematics describes the nature and development of the profound understanding of fundamental mathematics that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in china than in the united states, despite the fact that chinese teachers have less formal education than their u. Their understanding of the mathematics they teach and equally importantof the ways that elementary mathematics can be presented to students continues to grow throughout their. Teachers understanding of fundamental mathematics in the united states and china, which probed the kinds of knowledge that elementary school teachers need to convey mathematical concepts and procedures effectively to their students. Mar 26, 2010 knowing and teaching elementary mathematics. Buy a cheap copy of knowing and teaching elementary. Teachers understanding of fundamental mathematics knowing. Pdf knowing and teaching elementary mathematics ole kristian.

Mathematics and mathematics education discourses liping mas response to bridging polarities new to the 20 th anniversary edition. Knowing and teaching elementary mathematics liping ma. Library of congress cataloginginpublication data ma, liping. Each of the first four chapters opens with a standard topic in elementary school mathematics, presented as a part of a situation that would arise naturally in a classroom.

For those who are skeptical that mathematics education research can say much of value, it can serve as a counterexample. Send feedback knowing and teaching elementary mathematics. Her book, knowing and teaching elementary mathematics, is quoted on all sides of discussions about how to teach mathematics in elementary schools in the united states. Mathematics and mathematics education discourses liping ma s response to bridging polarities new to the 20 th anniversary edition.

Knowing and teaching elementary mathematics, r askey doc. Liping ma ive been reading liping mas 1999 knowing and teaching elementary mathematics, very relevant to the moment, for teachers in or from. Teachers understanding of fundamental mathematics in china and the united states studies in mathematical thinking and learning. Their understanding of the mathematics they teach andequally importantof the ways that elementary mathematics can be presented to students continues to grow throughout their. Following the smallgroup discussions on the preworkshop assignment from liping ma s book knowing and teaching elementary mathematics 1999, a panel set the stage for thinking about the two overarching questions that were the focus of the workshop. My data suggest that chinese teachers begin their teaching careers with a better understanding of elementary mathematics than that of most u.

Teachers understanding of fundamental mathematics in china and the united states alex lawson 1 educational studies in mathematics volume 42, pages 101 106 2000 cite this article. They must know well the mathematics they teach each day and feel both confident and comfortable talking it. Knowing and teaching elementary mathematics is an important book. Pdf download knowing and teaching elementary mathematics. And finds that the chinese teachers have got a lot more of it. Liping ma reports that chinese teachers spend considerable time studying the textbooks.

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