Tools of American Mathematics Teaching, 1800–2000
Tools of American Mathematics Teaching, 1800–2000

Author: Peggy Aldrich Kidwell

Publisher: JHU Press

Published: 2008-08-11

Total Pages: 437

ISBN-13: 080188814X

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From the blackboard to the graphing calculator, the tools developed to teach mathematics in America have a rich history shaped by educational reform, technological innovation, and spirited entrepreneurship. In Tools of American Mathematics Teaching, 1800–2000, Peggy Aldrich Kidwell, Amy Ackerberg-Hastings, and David Lindsay Roberts present the first systematic historical study of the objects used in the American mathematics classroom. They discuss broad tools of presentation and pedagogy (not only blackboards and textbooks, but early twentieth-century standardized tests, teaching machines, and the overhead projector), tools for calculation, and tools for representation and measurement. Engaging and accessible, this volume tells the stories of how specific objects such as protractors, geometric models, slide rules, electronic calculators, and computers came to be used in classrooms, and how some disappeared.

The Gaṇitatilaka and its Commentary
The Gaṇitatilaka and its Commentary

Author: Alessandra Petrocchi

Publisher: Routledge

Published: 2019-03-13

Total Pages: 443

ISBN-13: 1351022245

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The Gaṇitatilaka and its Commentary: Two Medieval Sanskrit Mathematical Texts presents the first English annotated translation and analysis of the Gaṇitatilaka by Śrīpati and its Sanskrit commentary by the Jaina monk Siṃhatilakasūri (13th century CE). Siṃhatilakasūri’s commentary upon the Gaṇitatilaka is a key text for the study of Sanskrit mathematical jargon and a precious source of information on mathematical practices of medieval India; this is, in fact, the first known Sanskrit mathematical commentary written by a Jaina monk, about whom we have substantial information, to survive to the present day. In presenting the first annotated translation of these two Sanskrit mathematical texts, this volume focusses on language in mathematics and puts forward a novel, fresh approach to Sanskrit mathematical literature which favours linguistic, literary features and textual data. This key resource makes these important texts available in English for the first time for students of Sanskrit, ancient and medieval mathematics, South Asian history, and philology.

Alexia
Alexia

Author: Alexander Leff

Publisher: Springer Science & Business Media

Published: 2013-10-17

Total Pages: 176

ISBN-13: 1447155297

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This book is a comprehensive review of the main acquired disorders of reading: hemianopic, pure and central alexia. The authors review the diagnostic criteria for each of the different types of disorder, and the efficacy of the therapeutic studies that have attempted to remediate them. The different theoretical models of adult reading, which largely rest on how the reading system responds to injury, are also discussed and evaluated. Focal brain injury caused by stroke and brain tumors are discussed in depth as are the effects of dementia on reading. This book starts with a chapter on normal reading, followed by chapters on hemianopic alexia, pure alexia and central alexia, each structured in the same way, with: a description of the condition; a historical review of cases to date; psychophysics; consideration of the causative lesions; evidence from functional imaging studies on patients and, most importantly, a review of the evidence base for treating each condition. Finally, there is a chapter on how patient data has informed how we think about reading. Alexia: Diagnosis, Treatment and Theory is aimed at neuropsychologists (both experimental and clinical), neurologists, speech therapists and others who deal with patients whose reading has been affected by an acquired brain injury, as well as interested students studying language disorders.

Visible Learning for Mathematics, Grades K-12
Visible Learning for Mathematics, Grades K-12

Author: John Hattie

Publisher: Corwin Press

Published: 2016-09-15

Total Pages: 305

ISBN-13: 1506362974

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Rich tasks, collaborative work, number talks, problem-based learning, direct instruction…with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in “visible” learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.