Developing Fractions Knowledge

· SAGE
eBook
224
āļŦāļ™āđ‰āļē
āļĄāļĩāļŠāļīāļ—āļ˜āļīāđŒ
āļ„āļ°āđāļ™āļ™āđāļĨāļ°āļĢāļĩāļ§āļīāļ§āđ„āļĄāđˆāđ„āļ”āđ‰āļĢāļąāļšāļāļēāļĢāļ•āļĢāļ§āļˆāļŠāļ­āļšāļĒāļ·āļ™āļĒāļąāļ™ Â āļ”āļđāļ‚āđ‰āļ­āļĄāļđāļĨāđ€āļžāļīāđˆāļĄāđ€āļ•āļīāļĄ

āđ€āļāļĩāđˆāļĒāļ§āļāļąāļš eBook āđ€āļĨāđˆāļĄāļ™āļĩāđ‰

Supporting and understanding your students’ fractional knowledge is crucial to their overall grasp of numbers and mathematics. By centralizing around three key stages of development, this effective guide will help you to assess your students’ understanding of fractions and modify your teaching accordingly.

These key stages are identified as:
  • Stage 1a: Fair Sharing
  • Stage 1b: Part-Whole
  • Stage 2a: Disembedding and IteratingStage 2b: Measuring with Unit Fractions
  • Stage 2c: Reversing Fractions
  • Stage 3a: Fractions as Numbers
  • Stage 3b: Operating with Fractions
As the newest addition to the bestselling Maths Recovery Series, this book will be a useful guide for all primary classroom teachers and assistants, including experienced Mathematics Recovery instructors.

āđ€āļāļĩāđˆāļĒāļ§āļāļąāļšāļœāļđāđ‰āđāļ•āđˆāļ‡

Dr. Amy J. Hackenberg taught mathematics to middle and high school students for 9 years in L.A. and Chicago, prior to earning a Ph.D. in mathematics education from the University of Georgia. Amy is currently an associate professor of mathematics education at Indiana University-Bloomington. She conducts research on how middle school students construct fractions knowledge and algebraic reasoning and on how teachers can learn to develop productive student-teacher relationships. In her current project she is investigating how to differentiate instruction for diverse middle school students (see https://idream.sitehost.iu.edu/), studying her own teaching as well as working with practicing teachers. She is the proud co-author of the Math Recovery series book, Developing Fractions Knowledge.

Dr Robert J. (Bob) Wright holds Bachelor’s and Master’s degrees in mathematics from the University of Queensland (Australia) and a doctoral degree in mathematics education from the University of Georgia. He is an adjunct professor in mathematics education at Southern Cross University in New South Wales. Bob is an internationally recognized leader in assessment and instruction relating to children’s early arithmetical knowledge and strategies, publishing six books, and many articles and papers in this field. His work over the last 25 years has included the development of the Mathematics Recovery Program, which focuses on providing specialist training for teachers to advance the numeracy levels of young children assessed as low-attainers. In Australia and New Zealand, Ireland, the UK, the USA, Canada, Mexico, South Africa and elsewhere, this programme has been implemented widely, and applied extensively to classroom teaching and to average and able learners as well as low-attainers. Bob has conducted several research projects funded by the Australian Research Council including the most recent project focusing on assessment and intervention in the early arithmetical learning of low-attaining 8- to 10-year-olds.

āđƒāļŦāđ‰āļ„āļ°āđāļ™āļ™ eBook āļ™āļĩāđ‰

āđāļŠāļ”āļ‡āļ„āļ§āļēāļĄāđ€āļŦāđ‡āļ™āļ‚āļ­āļ‡āļ„āļļāļ“āđƒāļŦāđ‰āđ€āļĢāļēāļĢāļąāļšāļĢāļđāđ‰

āļ‚āđ‰āļ­āļĄāļđāļĨāđƒāļ™āļāļēāļĢāļ­āđˆāļēāļ™

āļŠāļĄāļēāļĢāđŒāļ—āđ‚āļŸāļ™āđāļĨāļ°āđāļ—āđ‡āļšāđ€āļĨāđ‡āļ•
āļ•āļīāļ”āļ•āļąāđ‰āļ‡āđāļ­āļ› Google Play Books āļŠāļģāļŦāļĢāļąāļš Android āđāļĨāļ° iPad/iPhone āđāļ­āļ›āļˆāļ°āļ‹āļīāļ‡āļ„āđŒāđ‚āļ”āļĒāļ­āļąāļ•āđ‚āļ™āļĄāļąāļ•āļīāļāļąāļšāļšāļąāļāļŠāļĩāļ‚āļ­āļ‡āļ„āļļāļ“ āđāļĨāļ°āļŠāđˆāļ§āļĒāđƒāļŦāđ‰āļ„āļļāļ“āļ­āđˆāļēāļ™āđāļšāļšāļ­āļ­āļ™āđ„āļĨāļ™āđŒāļŦāļĢāļ·āļ­āļ­āļ­āļŸāđ„āļĨāļ™āđŒāđ„āļ”āđ‰āļ—āļļāļāļ—āļĩāđˆ
āđāļĨāđ‡āļ›āļ—āđ‡āļ­āļ›āđāļĨāļ°āļ„āļ­āļĄāļžāļīāļ§āđ€āļ•āļ­āļĢāđŒ
āļ„āļļāļ“āļŸāļąāļ‡āļŦāļ™āļąāļ‡āļŠāļ·āļ­āđ€āļŠāļĩāļĒāļ‡āļ—āļĩāđˆāļ‹āļ·āđ‰āļ­āļˆāļēāļ Google Play āđ‚āļ”āļĒāđƒāļŠāđ‰āđ€āļ§āđ‡āļšāđ€āļšāļĢāļēāļ§āđŒāđ€āļ‹āļ­āļĢāđŒāđƒāļ™āļ„āļ­āļĄāļžāļīāļ§āđ€āļ•āļ­āļĢāđŒāđ„āļ”āđ‰
eReader āđāļĨāļ°āļ­āļļāļ›āļāļĢāļ“āđŒāļ­āļ·āđˆāļ™āđ†
āļŦāļēāļāļ•āđ‰āļ­āļ‡āļāļēāļĢāļ­āđˆāļēāļ™āļšāļ™āļ­āļļāļ›āļāļĢāļ“āđŒ e-ink āđ€āļŠāđˆāļ™ Kobo eReader āļ„āļļāļ“āļˆāļ°āļ•āđ‰āļ­āļ‡āļ”āļēāļ§āļ™āđŒāđ‚āļŦāļĨāļ”āđāļĨāļ°āđ‚āļ­āļ™āđ„āļŸāļĨāđŒāđ„āļ›āļĒāļąāļ‡āļ­āļļāļ›āļāļĢāļ“āđŒāļ‚āļ­āļ‡āļ„āļļāļ“ āđ‚āļ›āļĢāļ”āļ—āļģāļ•āļēāļĄāļ§āļīāļ˜āļĩāļāļēāļĢāļ­āļĒāđˆāļēāļ‡āļĨāļ°āđ€āļ­āļĩāļĒāļ”āđƒāļ™āļĻāļđāļ™āļĒāđŒāļŠāđˆāļ§āļĒāđ€āļŦāļĨāļ·āļ­āđ€āļžāļ·āđˆāļ­āđ‚āļ­āļ™āđ„āļŸāļĨāđŒāđ„āļ›āļĒāļąāļ‡ eReader āļ—āļĩāđˆāļĢāļ­āļ‡āļĢāļąāļš