When the Problem Is Not the Question and the Solution Is Not the Answer
Mathematical Knowing and Teaching
Datos Bibliográficos
| ID | 8222777 |
|---|---|
| Autores | Magdalene Lampert (Michigan State University, autor de correspondencia) |
| Año | 1990 |
| Volumen | 27 |
| Número | 1 |
| Páginas | 29-63 |
| Fecha de publicación | 1990-03-01 |
| Peer Reviewed | Sí |
| Open Access | Sí |
| Tipo | ARTICLE |
| Revista | American Educational Research Journal (JOURNAL) |
| Identificadores de la revista | ISSN: 0002-8312 • E-ISSN: 1935-1011 |
| Editorial | American Educational Research Association (AERA) (PUBLISHER) |
| DOI | 10.3102/00028312027001029 |
| OpenAlex | W1963516460 |
| Idioma | EN |
| Citas recibidas | 141 |
| Referencias citadas | 26 |
This paper describes a research and development project in teaching designed to examine whether and how it might be possible to bring the practice of knowing mathematics in school closer too what it means to know mathematics within the discipline by deliberately altering the roles and responsibilities of teacher and students in classroom discourse. The project was carried out as a regular feature of lessons in fifth-grade mathematics in a public school. A case of teaching and learning about exponents derived from lessons taught in the project is described and interpreted from mathematical, pedagogical, and sociolinguistic perspectives. To change the meaning of knowing and learning in school, the teacher initiated and supported social interactions appropriate to making mathematical arguments in response to students’ conjectures. The activities students engaged in as they asserted and examined hypotheses about the mathematical structures that underlie their solutions to problems are contrasted with the conventional activities that characterize school mathematics
Mathematical practice · Mathematics education · Meaning (existential · Pedagogy · Teaching method · Cognitive and developmental aspects of mathematical skills · Education and Technology Integration · Mathematics Education and Teaching Techniques · Psychology · Teacher Education and Leadership Studies
Situated cognition and learning
Zur Rolle der Lehrperson beim kooperativen Lernen
Les structures de participation de la micro-culture de classe dans une leçon de mathématiques
Knowledge Building in Discourse Communities
Dialogue in the Classroom
The classroom environment and students' reports of avoidance strategies in mathematics
Reconstructing Mathematics Pedagogy from a Constructivist Perspective
Sociomathematical Norms, Argumentation, and Autonomy in Mathematics
Personal Epistemology Research
Constructing competence
The Development of Epistemological Theories
Learning to Think Mathematically
Cognition and Policy Implementation
Learning to argue
Social Constructivist Perspectives on Teaching and Learning
Identity, Goals, and Learning
Guiding Principles for Fostering Productive Disciplinary Engagement
A Situated and Sociocultural Perspective on Bilingual Mathematics Learners
Policy Implementation and Cognition
Dimensionality and Disciplinary Differences in Personal Epistemology
Toward a Theory of Teacher Community
Orchestrating Productive Mathematical Discussions
A conceptualization of the teaching practice of building
Proposing an alternative direction for the development of research
Understanding teaching behavior through a theoretical perspective of teacher conception
“I learned more, but it was very hard
Responsiveness and intellectual work
The “tricky business” of genre blending
Enhancing students' metacognition, achievement and transfer between domains
Examining discourse structures in Chinese and U.S. elementary mathematics classes
Successful Black Mathematics Teachers Building Collectivity, Autonomy, and Mathematics Expertise of Their Black Girls
Initial Steps in Developing Classroom Observation Rubrics Designed Around Instructional Practices that Support Equity and Access in Classrooms with Potential for “Success”
Contrastive Approaches to the Dynamic Nature of the Teacher’s Definition From the Diachronic Perspective
Stimulus Control for Making Math Verbal
What is Ambitious (Mathematics) Teaching? Clarifying a Key Concept in Education Research and Practice
Principles for the design of a fully-resourced, coherent, research-informed school mathematics curriculum
Principals’ conceptions of mathematics instruction
Hybrid teaching intelligence
Teacher support and learning engagement
(Re)Framing Educational Possibility
When the student is the ‘problem’ and the teacher is not the solution
Analyzing the effects of mathematical discourse-based instruction on eleventh-grade students’ procedural and conceptual understanding of probability and statistics
Lernwege und Aneignungsformen im Sachunterricht
Mathematics and the Body
Teacher pedagogical constructions
Toward a Theory of Teacher Community
Social Influences on the Development of Children's Adaptive Help Seeking
But What Does it Look Like in Maths
Positioning Students as Actors and Authors
“It’s Understandable Enough, Right?” The Natural Accountability of a Mathematics Lesson
Cognition as Communication
Learning as a Prosaic Act
Authentic activity and learning
Crenças epistêmicas em mudança? Um estudo investigativo do conhecimento entre futuros professores de história
Changing epistemic beliefs? An exploratory study of cognition among prospective history teacher
Millennial teachers and multiculturalism
Dialogue in the elementary school mathematics classroom
Exploring Relationship between Teaching Practice and Student Learning
Students? knowledge about the value of discussions for teaching and learning
Understanding conditions leading to student gestures during fractions lessons
Development of Mathematical Communication in Problem Solving Groups By Language Minority Students
Bilingual Students' Articulation and Gesticulation of Mathematical Knowledge During Problem Solving
Retombées collatérales d’un Teaching Experiment
Point de vue sur une perspective canadienne en didactique des mathématiques
Emergence of Uncertainties and Mathematical Problems Through Collective Investigation on Routine Tasks
Understanding Students’ Experiences as Listeners During Mathematical Discussion
Faire vivre une formation à l’enseignement des mathématiques par résolution de problèmes
Can We Engage Students in Authentic Mathematical Activity While Embracing Critical Pedagogy? A Commentary on the Tensions Between Disciplinary Activity and Critical Education
Uses of video in social research
Developing mathematical thinking skills of preservice mathematics teachers in the problem-solving process
Educational Sciences
Addressing Horizontal and Vertical Gaps in Educational Systems
Ventriloquating the Meanings of Mathematics
Adapting scientific modeling practice for promoting elementary students’ productive disciplinary engagement
Régulations interactives situées dans des dynamiques de microculture de classe
Interroger la pratique du portfolio en situation scolaire dans une perspective « située » de l’apprentissage
Teaching and Learning Chinese
Ambitious instruction and student achievement
Why are you talking when you could be listening? The role of discourse and reflection in the professional development of a secondary mathematics teacher
Elementary teachers' conceptualizations of classroom discussions across content areas
Varieties of wisdom in the practice of teachers
Learning a new curricular approach
Working with learners’ mathematical thinking
Assessment of teaching and learning in “literature-based” classrooms
How do teachers reason about their practice? Representing the epistemic nature of teachers’ practical knowledge
Pre-service teachers learning mathematics using calculators
Change in beliefs after first-year of teaching
Pointing the Way
Historical Understanding among Adolescents in a Multicultural Setting
Curriculum Materials in Mathematics Education Reform
Theories and Practices of Thinking and Learning to Think
Music Teacher Knowledge
The Teacher Research Movement
Not Tension but Intention
The situativity of knowing, learning, and research
Supporting Sustainability
Talk About Evidence During Argumentation
Beyond the Looking Glass
What Counts and How
Does Biliteracy + Mathematical Discourse = Binumerate Development? Language Use in a Middle School Dual-Language Mathematics Classroom
Proofs and Refutations
How Do Teachers Manage to Teach? Perspectives on Problems in Practice
Reciprocal Teaching of Comprehension-Fostering and Comprehension-Monitoring Activities
The Interpretation of Cultures
The Philosophy of Symbolic Forms
The Philosophy Of Symbolic Forms
Learning Lessons
Ethnography and Language in Educational Settings
Social Organizational Factors in Learning to Read
Philosophy and the Mirror of Nature
Educational theory, practical philosophy and action research
The Skill of Learning from Classroom Lessons
Knowledge and Teaching
How Adequate are the Knowledge Base Frameworks in Teacher Education
Philosophy and the Mirror of Nature
School Teacher
Taught Cognitive learning in its Immediate Environments
| Obras citantes distintas | 133 |
|---|---|
| Citas por año | 4,03 |
| Intervalo de citas | 1991 - 2026 (36) |
| Velocidad de citación | current |
| Altamente citado | Sí |
| Tipos de cita | Neutras: 134 |