Modelling and applications in mathematics education : the 14th ICMI study
The overall goal of Modelling and Applications in Mathematics Education is to provide a comprehensive overview of the state-of-the-art in the field of modelling and applications in mathematics education. Key issues are dealt with, among which are the following: Epistemology and the relationships between mathematics and the "rest of the world"; the meaning of mathematical modelling and its process components; the respect in which the distinction between pure mathematics and applications of mathematics make sense Authenticity and Goals dealing with modelling and applications in mathematics teaching; appropriate balance between modelling activities and other mathematical activities; the role that authentic problem situations play in modelling and applications activities Modelling Competencies: characterizing how a student's modelling competency can be characterized; identifiable sub-competencies, and the ways they constitute a general modelling competency; developing competency over time Mathematical Competencies: identifying the most important mathematical competencies that students should acquire, and how modelling and applications activities can contribute toward building up these competencies; the meaning of "Mathematical Literacy" in relation to modelling Modelling Pedagogy: appropriate pedagogical principles and strategies for the development of modelling courses and their teaching; the role of technology in the teaching of modelling and applications Implementation and Practice: the role of modelling and applications in everyday mathematics teaching; major impediments and obstacles; advancing the use of modelling examples in everyday classrooms; documenting successful implementation of modelling in mathematics teaching Assessment and Evaluation: assessment modes that capture the essential components of modelling competency; modes available for modelling and applications courses and curricula; appropriate strategies to implement new assessment and evaluation modes in practice The contributing authors are eminent members of the mathematics education community. Modelling and Applications in Mathematics Education will be of special interest to mathematics educators, teacher educators, researchers, education administrators, curriculum developers and student teachers
eBook, English, ©2007
Springer, New York, ©2007
1 online resource (xiv, 521 pages) : illustrations
9780387298221, 9780387298207, 0387298223, 0387298207
Less Chalk, Less Words, Less Symbols ... More Objects, More Context, More Actions
What's all the Fuss about Competencies?
A Theory of Mathematical Modelling in Technological Settings
What Knowledge Do Teachers Need for Teaching Mathematics Through Applications and Modelling?
Beyond the Low Hanging Fruit
Modelling for Life: Mathematics and Children's Experience
Modelling in Lower Secondary Mathematics Classroom
Problems and Opportunities
a Conversation with Henry Pollak
Issues in Applications and Modelling
Epistemology and Modelling
Modelling Body Motion: an Approach to Functions Using Measuring Instruments
Emergent Modelling as a Precursor to Mathematical Modelling
Proving and Modelling
A Developmental Approach for Supporting the Epistemology of Modeling
What is Distinctive in (Our Views about) Models & Modelling Perspectives on Mathematics Problem Solving, Learning, and Teaching?
Everyday Instruments: On the Use of Mathematics
Authenticity and Goals
How to Replace Word Problems with Activities of Realistic Mathematical Modelling
The Relevance of Modelling and Applications: Relevant to Whom and for What Purpose?
Features and Impact of the Authenticity of Applied Mathematical School Tasks
Elementary Modelling in Mathematics Lessons: The Interplay Between "Real-World" Knowledge and "Mathematical Structures"
Levels of Modelling Competencies
Modelling Both Complexity and Abstraction: A Paradox?
Studying and Remedying Students' Modelling Competencies: Routine Behaviour or Adaptive Expertise
Assessing the "Phases" of Mathematical Modelling
The Arithmetic Operations as Mathematical Models
Applications and Modelling for Mathematics
The Roles of Modelling in Learning Mathematics
Developing Mathematical Literacy
Classroom Activities and the Teacher
Uses of Technologies in Learning Mathematics through Modelling
Mathematical Modelling in High School Mathematics: Teachers' Thinking and Practice
Mathematical Modelling in Teacher Education
Necessity or Unnecessarily
Building Concepts and Conceptions in Technology-Based Open Learning Environments
Towards a Wider Implementation of Mathematical Modelling at Upper Secondary and Tertiary Levels
How Might we Share Models Through Cooperative Mathematical Modelling? Focus on Situations Based on Individual Experiences
Implementation and Practice
Some Conditions for Modelling to Exist in Mathematics Classrooms
Picture (Im)Perfect Mathematics!
Learning Mathematical Modelling
From the Perspective of Probability and Statistics Education
Considering Workplace Activity from a Mathematical Modelling Perspective
Assessment and Evaluation
Modelling Based Project Examination
Mathematical Modelling and Applications: Ability and Competence Frameworks
"To Model, or to Let Them Model?" That is the Question!
Modelling and Applications in Pisa
Assessment of Applied Mathematics and Modelling: Using a Laboratory-Like Environment
Modelling and Applications in Primary Education
Possibilities for, and Obstacles to Teaching Applications and Modelling in the Lower Secondary Levels
Upper Secondary Perspectives on Applications and Modelling
Teaching Applications and Modelling at Tertiary Level
Modelling in Teacher Education
Cases in Applications and Modelling
Moving the Context of Modelling to the Forefront: Preservice Teachers' Investigations of Equity in Testing
Modelling in Ontario: Success in Moving Along the Continuum
Implementation Case Study: Sustaining Curriculum Change
Mathematical Modelling of Social Issues in School Mathematics in South Africa