Learning Mathematics Through Inquiry

Author: Raffaella Borasi
Publisher: Heinemann Educational Publishers
Size: 19.18 MB
Format: PDF, Mobi
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Learning Mathematics Through Inquiry from the Author: Raffaella Borasi. Raffaella Borasi worked closely with two high school girls who did not like math and who rarely had achieved any degree of success in the subject. Over the course of ten lessons, the students and Raffaella engaged in a personal inquiry into the nature of mathematical definitions.

Cases On Inquiry Through Instructional Technology In Math And Science

Author: Lennex, Lesia
Publisher: IGI Global
ISBN: 1466600691
Size: 49.87 MB
Format: PDF, ePub, Docs
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Cases On Inquiry Through Instructional Technology In Math And Science from the Author: Lennex, Lesia. There exists a wealth of information about inquiry and about science, technology, engineering, and mathematics (STEM), but current research lacks meaningfully written, thoughtful applications of both topics.Cases on Inquiry through Instructional Technology in Math and Science represents the work of many authors toward meaningful discourse of inquiry used in STEM teaching. This book presents insightful information to teachers and teacher education candidates about using inquiry in the real classroom, case studies from which research suggests appropriate uses, and tangible direction for creating their own inquiry based STEM activities. Sections take the reader logically through the meaning of inquiry in STEM teaching, how to use technology in modern classrooms, STEM projects which successfully integrate inquiry methodology, and inquiry problem solving within STEM classrooms with the aim of creating activities and models useful for real-world classrooms.

Learning Mathematics

Author: Prof Leone Burton
Publisher: Routledge
ISBN: 1135698473
Size: 22.80 MB
Format: PDF, ePub, Mobi
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Learning Mathematics from the Author: Prof Leone Burton. Learning Mathematics brings together a collection of interrelated and forward-looking chapters by internationally recognized experts that explores changes in the theories and practices of learning (and teaching) mathematics. The authors reject a traditional, transmission view of the teaching of mathematics which has proved so ineffective for learning. In its place they offer information gathered from research and from practice about effects on the learners seeking to create and negotiate meaning. Learners are presented as actively attempting to make sense of the mathematics they encounter, and learners, teachers and researchers are offered examples of ho such sense-making activities, incorporated into mathematics classrooms, impact on coming to know. The book celebrates both diversity, in the range of different perspectives, contributions and topics, and unity, in the linking chapters and themes, It will be fascinating reading for those mathematics educators who are eager to engage with a socio-cultural perspective in order to better understand the complexity of learning mathematics.

Elementary Mathematics And Science Methods

Author: Gerald W. Foster
Publisher: Wadsworth Publishing Company
ISBN: 9780534515799
Size: 27.92 MB
Format: PDF, Docs
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Elementary Mathematics And Science Methods from the Author: Gerald W. Foster. Using constructivist theory and inquiry learning methods, Foster presents a text that both meets national standards and satisfies the needs of this emerging market. This book will appeal to those who have embraced the NCTCM standards and the reform philosophy of using collaborative learning, real-world applications, and the discovery method for teaching math and science concepts. Students learn how to teach children about math through science, and science through math. Parallels are drawn between the two subjects to make them applicable to everyday life. Foster shows the student how to encourage learning in their students (teaching how to learn) rather than merely teaching their students what to learn (i.e., memorization). The text uses practical activities for students to use in their future classroom to facilitate learning and create inquisitive learners.

Designs For Learning Environments Of The Future

Author: Michael Jacobson
Publisher: Springer Science & Business Media
ISBN: 9780387882796
Size: 35.16 MB
Format: PDF, ePub, Mobi
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Designs For Learning Environments Of The Future from the Author: Michael Jacobson. Few things are as certain as societal changes—and the pressing need for educators to prepare students with the knowledge and ways of thinking necessary for the challenges in a changing world. In the forward-thinking pages of Designs for Learning Environments of the Future, international teams of researchers present emerging developments and findings in learning sciences and technologies at the infrastructure, curricular, and classroom levels. Focusing on ideas about designing innovative environments for learning in areas such as biology, engineering, genetics, mathematics, and computer science, the book surveys a range of learning technologies being explored around the world—a spectrum as diverse as digital media, computer modeling, and 3D virtual worlds—and addresses challenges arising from their design and use. The editors’ holistic perspective frames these innovations as not only discrete technologies but as flexible learning environments that foster student engagement, participation, and collaboration. Contributors describe possibilities for teaching and learning in these and other cutting-edge areas: Working with hypermodels and model-based reasoning Using visual representations in teaching abstract concepts Designing strategies for learning in virtual worlds Supporting net-based collaborative teams Integrating innovative learning technologies into schools Developing personal learning communities Designs for Learning Environments of the Future will enhance the work of a wide range of professionals, including researchers and graduate students in the learning and cognitive sciences, and educators in the physical and social sciences.

Thinking Through Mathematics Book 3

Author: Sue Allmond
Publisher: Curriculum Press
ISBN: 1742004849
Size: 32.47 MB
Format: PDF, Docs
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Thinking Through Mathematics Book 3 from the Author: Sue Allmond. Mathematical inquiry challenges students to ask questions, create definitions and think very carefully about how they are going to solve a problem. With the emphasis on mathematical reasoning, judgement and problem-solving skills, the Thinking through Mathematics series requires students to investigate questions that are open-ended and ambiguous, rather than closed and defined. The process of reasoning is reinforced as students consider the parameters of their inquiry, formulate, trial and enact a plan, and share their thinking process alongside the results. Each book provides ten mathematical inquiry units, each posing a real-life, ambiguous question for inquiry, such as: Are athletes getting better over time? Students explore measurement and pose hypotheses about the factors influencing sporting records, as they interpret, analyse and discuss a variety of data representations. What is the best walking school bus route in our school catchment area? Students explore measurement, time and distance conversions, mapping conventions (including scale), and the social and environmental benefits of a healthy, safe route, appropriate for students of all ages to get to their school. Each of the ten units follows five phases of inquiry: Discover (engage with the problem) Devise (create a plan) Develop (implement the plan) Defend (justify and communicate solutions and the decisions made) Diverge (optional: explore alternative pathways) Notes for the teacher make the process of mathematical inquiry transparent, covering the activity sequence, question prompts, key vocabulary, communicating understandings and writing meaningful reflections. ‘In Action’ sections share the authors’ experience trialling and testing these mathematical inquiries in their own classrooms, and how they develop mathematical understanding in their students. Thinking through Mathematics provides a practical entry into inquiry-based mathematics learning which immerses students in solving authentic, complex problems.

Ages 8 10

Publisher: Curriculum Press
ISBN: 1742004822
Size: 52.16 MB
Format: PDF, ePub, Docs
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Ages 8 10 from the Author: . "Provides practical ideas and contexts for developing the process of a mathematical inquiry. Inquiry-based learning in mathematics immerses students in solving authentic, complex problems. Students are challenged to build on their own contextual knowledge and experiences to engage with a problem, devise and implement a plan, and justify and communicate their investigation and solution."--Publisher.

Investigating Mathematics Teaching

Author: Barbara Jaworski
Publisher: Psychology Press
ISBN: 9780750703734
Size: 65.16 MB
Format: PDF, Kindle
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Investigating Mathematics Teaching from the Author: Barbara Jaworski. This book is about mathematics, teaching and learning and how these are affected by a constructivist philosophy. Chapter 1 presents background to the study of an investigative approach to mathematics teaching. Chapter 2 provides an account of constructivism as a philosophy of knowledge and learning and includes a rationale for both radical and social constructivism and relationships between constructivism and knowledge, communication, and the classroom. Chapter 3 presents the author's early thinking about an investigative approach to mathematics teaching. Chapter 4 examines the choice of an ethnographic approach to research through participant observation and informal interviewing and also examines issues that arise from an interpretivist analysis. Chapters 6, 7, and 9 are case studies detailing a characterization of the teaching and thinking of three teachers and the development of theory through analysis of observations. Included is a descriptive model, the Teaching Triad, which arose from the categorization of data. Chapters 5 and 8 offer interludes of research reflections. Chapter 10 presents a synthesis of general concepts in terms of characteristics of an investigative approach and tensions that it raises for teachers in its classroom implementation. Chapter 11 offers a characterization of the teacher-researcher relationship which includes a descriptive model for reflective practice. Finally, Chapter 12 reexamines the relevance of constructivism to research outcomes in light of questions about the adequacy of radical constructivism to explain the complexities of classroom interaction. Each chapter contains notes. (Contains 221 references.) (MKR)

Developing Mathematical Thinking

Author: Jonathan D. Katz
Publisher: Rowman & Littlefield
ISBN: 147581058X
Size: 13.60 MB
Format: PDF, Docs
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Developing Mathematical Thinking from the Author: Jonathan D. Katz. In this country we have done a poor job of helping students come to see the wonder, beauty and power of mathematics. Standards can be brought into the picture, but unless we think about what it means to truly engage students in mathematics we will continue to be unsuccessful. The goal of this book is to begin to change the way students experience mathematics in the middle and high school classrooms. In this book you will find a theoretical basis for this approach to teaching mathematics, multiple guides and questions for teachers to think about in relation to their everyday teaching, and over 30 examples of problems, lessons, tasks, and projects that been used effectively with urban students.