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Young Mathematicians at Work: Constructing Number Sense, Addition, and Subtraction
COP 230081
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Young Mathematicians at Work provides a concerted, unified description of development, focusing on big ideas, progressive strategies, and emerging models.
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- In our efforts to reform mathematics education, we've learned a tremendous amount about young students' strategies and the ways they construct knowledge, without fully understanding how to support such development over time. The Dutch do. So, funded by the NSF and Exxon, Mathematics in the City was begun, a collaborative inservice project that pooled the best thinking from both countries. In Young Mathematicians at Work, Catherine Fosnot and Maarten Dolk reveal what they learned after several years of intensive study in numerous urban classrooms. The first in a three-volume set, Young Mathematicians at Work focuses on young children between the ages of four and eight as they construct a deep understanding of number and the operations of addition and subtraction. Rather than offer unrelated activities, Fosnot and Dolk provide a concerted, unified description of development, with a focus on big ideas, progressive strategies, and emerging models. Drawing from the work of the Dutch mathematician Hans Freudenthal, they define mathematics as mathematizingthe activity of structuring, modeling, and interpreting one's lived world mathematically. And they describe teachers who use rich problematic situations to promote inquiry, problem solving, and construction, and children who raise and pursue their own mathematical ideas. In contrast to other books on math reform, Young Mathematicians at Work provides a new look at the teaching of computation. It moves beyond the current debate about algorithms to argue for deep number sense and the development of a repertoire of strategies based on landmark numbers and operations. Sample minilessons on the use of the open number line model are provided to show you how to support the development of efficient computation.
| Publisher | HEINEMANN |
| Publication date | April 1, 2001 |
| Language | English |
| Print length | 224 pages |
| ISBN-10 | 0275979059 |
| ISBN-13 | 978-0275979058 |
| Item Weight | 12.8 ounces (362.88 grams) |
| Reading age | 3 - 9 years |
| Dimensions | 7.3 x 0.41 x 9.2 inches (18.5 x 1 x 23.4 cm) |
| Grade level | Preschool - 3 |
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Preguntas y respuestas de los clientes
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Pregunta:
What age group is this book focused on?
Respuesta: The book is focused on young children between the ages of four and eight. -
Pregunta:
What teaching methods does the book advocate?
Respuesta: It promotes inquiry-based learning and the use of rich problematic situations to enhance understanding. -
Pregunta:
How does this book differ from others on math education?
Respuesta: It emphasizes a deep understanding of number sense and strategies over traditional algorithms.
Mathematics Editorial Review
**Editorial Review** "Young Mathematicians at Work: Constructing Number Sense, Addition, and Subtraction" has garnered a largely positive reception from educators seeking to enhance their understanding of mathematics instruction. Many teachers praise the book for its thoughtful exploration of how students develop mathematical concepts, enabling them to identify and assess the skills that their students are acquiring. The vignettes and theoretical analyses presented in the book provide concrete strategies to support elementary mathematics education, particularly in fostering a strong number sense and a deeper understanding of operations like addition and subtraction through concepts like place value. Educators from various backgrounds highlight the book's transformative impact on their teaching practices and student outcomes, noting improved math scores in underperforming districts. The supplemental materials associated with the series, including videos and lesson plans, have been particularly celebrated for their practical application in real classroom settings, helping to enrich both teaching and learning experiences. However, some feedback indicates that the book may not meet all educators' expectations, with a few finding it lacking in immediately applicable strategies for classroom use. Critics have suggested that it contains abstract concepts without the necessary concrete examples for quick implementation, emphasizing the need for resources that address the day-to-day challenges teachers face. Despite mixed reactions, the overall sentiment towards "Young Mathematicians at Work" is one of enthusiasm for its potential to deepen mathematical understanding among both teachers and students. The book is recommended as an essential resource for those looking to build foundational math skills in a developmental context. **
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ventajas
- Comprehensive insight into mathematical thinking development in children
- Provides effective strategies for teaching fundamental math concepts
- Incorporates useful supplemental materials like videos and lesson plans
- Positive impact on student math performance and teacher confidence
Contras
- Some educators find the content lacking in immediate, actionable classroom strategies
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COP 230081
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características y beneficios
- Focuses on children aged 4-8 building number sense and operations.
- Offers a unified approach rather than unrelated activities.
- Promotes inquiry, problem solving, and construction in learning.
- Defines mathematics as the activity of structuring and interpreting the world.
- Provides sample lessons using innovative models like the open number line.
- Challenges traditional teaching methods by emphasizing deep understanding over rote algorithms.
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