Constructing squares as a mathematical problem solving process in pre-school
Could problem solving bethe object of teaching in early education? Could children’s engagement inproblem solving processes lead to skills and conceptual understandingdevelopment? Could appropriate teaching interventions scaffold children’sefforts? The sample consisted of 25 children attending public...
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oai:ojs.pasithee.library.upatras.gr:article-20392019-09-10T09:22:09Z Constructing squares as a mathematical problem solving process in pre-school SHIAKALLI, MARIA ANGELA Problem solving, conceptual understanding, square, construction, pre-school education Could problem solving bethe object of teaching in early education? Could children’s engagement inproblem solving processes lead to skills and conceptual understandingdevelopment? Could appropriate teaching interventions scaffold children’sefforts? The sample consisted of 25 children attending public pre-school inCyprus. The children were asked to construct differentsized squares. Findings show that children responded positively to the problemand were successful in solving it. During the problem solving process childrendemonstrated development of skills and conceptual understanding.Teacher-children and children-children interactions played an important role inthe positive outcome of the activity. Urray 2013-06-09 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://pasithee.library.upatras.gr/review/article/view/2039 10.26220/rev.2039 Review of Science, Mathematics and ICT Education; Vol 8, No 1 (2014): Trends in Mathematics Education; 43-61 Review of Science, Mathematics and ICT Education; Vol 8, No 1 (2014): Trends in Mathematics Education; 43-61 1792-3999 1791-261X eng https://pasithee.library.upatras.gr/review/article/view/2039/2280 |
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UPatras |
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Pasithee |
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English |
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Science education, scientific revolution, history and philosophy of science and Science and mathematics education education Participation, early mathematics, mathematising process, children’s initiatives, play pedagogies Primary education, investigative approach, scientific and technological activities Material and virtual resources, praxeology, task, technique, technology, register, number sense, place-value system, Chinese abacus Science, pseudoscience, expert, media, television, media format Chemical reaction, MBL, Lebanon, labwork education Spatial skills, programming cards, Scratch Jr, tangible material, code learning education Contradictions, conflicts, turning points, early childhood, science education, motives, demands, everyday concepts, scientific concepts Explanations construction, teaching, sciences, preschool Avalanche, joint action theory for didactics (JATD), physics, resources, science communication Museology, science education, archaeological museum, interdisciplinary interpretation of museum collections, archaeometry Science disaffection, aims of science education, didactics, educational policy and administration education Technology education, curriculum, gender Content analysis, qualitative research, primary school, scientific research activity PhD studies, PhD student, supervisor, research problem Science education, chemistry, conceptions, teaching practices, atomic models Health literacy, kindergarten teacher, qualitative research, content analysis Environmental education, environmental issues, social representations, word associations, environmental conceptions Indigenous education, biology education, models, living beings classification Digital technology, documentation work, programming, students’ autonomy, teacher education education Science education, precursor models construction, flotation, teaching and learning strategy, preschool education. Science, investigation, école primaire, élèves en situation de handicap Scolarisation des élèves handicapés; habiletés éducatives; gestes professionnels d’ajustement; auxiliaire de vie scolaire; école primaire française Teacher training, mathematics teaching, scheme, instrument Teaching physics, energy concept, systems of signs, inscriptions, semiotic resources Concept force, didactic transposition, mathematical approach, students’ difficulties misconceptions France, history of science, teaching, experimental sciences, Volta. Inquiry based teaching, formulation of hypotheses, buoyancy, manipulation, students' ideas Inquiry-Based Science Education, biology in early childhood education, teaching practices in kindergarten, learning practices in kindergarten Early childhood science, drawing, young children’s ideas, change of state Science Education, Mathematics Education, international testing, school curricula Problems solving, knowledge, task, declarative, procedural, hierarchy Earth science curriculum, student learning, quality assessment, validity and reliability study, survey development Health education, educational styles, biomedical model, health promotion, textbooks Learning material; knowledge structures; WPW learning model; content specialization; engagement; heteroglossia Educative robotics, primary school, learning, micro-genetics approach, activity analysis Ethical issues, Biological Sciences, PCK, Scientific Argumentation Conception, learning, complexity, ecosystem Conception, learning, complexity, ecosystem Early childhood, graphical sign lexicons, repertoires, children’s mathematical graphics, emergent learners Young children’s thinking, sociocultural/cultural-historical theory, methodology, early childhood science Ancient remains, amphorae, mediation Why-questions, knowledge-statements, belief-statements, epistemic status of scientific theories Preparation, physics and technology teachers, science and technology education, Greece Logical-mathematical games, logical reasoning, operations and logical deductions, recurrence of logical-mathematical games in daily educational activities education IBSE, primary school, Intentio, institutional science education project Gender, relationship to scientific knowledge, ROSE project, French student, secondary school science, science education Evaluation, professional competences, initial teachers, didactic roles Canadian science museums, mission statements, museum mission statements, roles, science centres, science museums education education Monologue, egocentric speech, thought, enunciative dimension, education Relativity of simultaneity, theory of conceptual fields, secondary school, Special Theory of Relativity Adequacy training-employment, epistemology, professional identity, occupational integration, teaching practices, professional knowledge, school knowledge Science education, participatory science, authenticity of learning, teaching practices, school-scientist partnerships Methodology, exploratory data analysis, inquiry based science education, teachers representations Representations, ICT uses; ICT practices; university students; digital skills Nature of science, teacher education, key-ideas, matrix of stages and strands, didactical units Bloodstream, scientific debate, language interactions, cognitive work Inquiry-based science education, previous experience, previous knowledge Mental argumentation, property based thinking, meaning in mathematics, thinking globally, the role of symbols Prospective teachers, elementary school, pedagogical competency, scientific competency, science and technology Energy, epistemological awareness, scientific constructs, trans-phenomenological aspect, system analysis Science exhibitions, technoscientific issues, practice and process, communicating controversy in science, critical viewer, negotiation Contextual issues, history of science, effective learning, physics education Early childhood science education; children’s ideas; communication; drawing activity; group discussion; research methods; Earth’s shape; day/night cycle Spatial awareness, direction, orientation, programmable toy Bee-Bot, educational scenario, preschool children’s representations Professional development, learning trajectories, student teachers, learning trajectories, expertise Problem solving, conceptual understanding, square, construction, pre-school education Visual methods, participation, early childhood, competency, Mosaic approach Early year education, decomposition, recycling, constructivist learning environment Transition, mathematics, coping styles, higher education, assessment History and Philosophy of Science, History and Philosophy of Mathematics, HP&ST education Chemical education; car catalyst; students’ misconceptions; mental models Scientific education, continuing education, teachers, high school, participatory museum, society museums, museum of civilisation, exhibition media, community of practice education Semiotic representation registers, proportionality, problem solving, tabular register, graphical register Metalinguistic function, scientific code, early childhood education, theatre semiotics |
spellingShingle |
Science education, scientific revolution, history and philosophy of science and Science and mathematics education education Participation, early mathematics, mathematising process, children’s initiatives, play pedagogies Primary education, investigative approach, scientific and technological activities Material and virtual resources, praxeology, task, technique, technology, register, number sense, place-value system, Chinese abacus Science, pseudoscience, expert, media, television, media format Chemical reaction, MBL, Lebanon, labwork education Spatial skills, programming cards, Scratch Jr, tangible material, code learning education Contradictions, conflicts, turning points, early childhood, science education, motives, demands, everyday concepts, scientific concepts Explanations construction, teaching, sciences, preschool Avalanche, joint action theory for didactics (JATD), physics, resources, science communication Museology, science education, archaeological museum, interdisciplinary interpretation of museum collections, archaeometry Science disaffection, aims of science education, didactics, educational policy and administration education Technology education, curriculum, gender Content analysis, qualitative research, primary school, scientific research activity PhD studies, PhD student, supervisor, research problem Science education, chemistry, conceptions, teaching practices, atomic models Health literacy, kindergarten teacher, qualitative research, content analysis Environmental education, environmental issues, social representations, word associations, environmental conceptions Indigenous education, biology education, models, living beings classification Digital technology, documentation work, programming, students’ autonomy, teacher education education Science education, precursor models construction, flotation, teaching and learning strategy, preschool education. Science, investigation, école primaire, élèves en situation de handicap Scolarisation des élèves handicapés; habiletés éducatives; gestes professionnels d’ajustement; auxiliaire de vie scolaire; école primaire française Teacher training, mathematics teaching, scheme, instrument Teaching physics, energy concept, systems of signs, inscriptions, semiotic resources Concept force, didactic transposition, mathematical approach, students’ difficulties misconceptions France, history of science, teaching, experimental sciences, Volta. Inquiry based teaching, formulation of hypotheses, buoyancy, manipulation, students' ideas Inquiry-Based Science Education, biology in early childhood education, teaching practices in kindergarten, learning practices in kindergarten Early childhood science, drawing, young children’s ideas, change of state Science Education, Mathematics Education, international testing, school curricula Problems solving, knowledge, task, declarative, procedural, hierarchy Earth science curriculum, student learning, quality assessment, validity and reliability study, survey development Health education, educational styles, biomedical model, health promotion, textbooks Learning material; knowledge structures; WPW learning model; content specialization; engagement; heteroglossia Educative robotics, primary school, learning, micro-genetics approach, activity analysis Ethical issues, Biological Sciences, PCK, Scientific Argumentation Conception, learning, complexity, ecosystem Conception, learning, complexity, ecosystem Early childhood, graphical sign lexicons, repertoires, children’s mathematical graphics, emergent learners Young children’s thinking, sociocultural/cultural-historical theory, methodology, early childhood science Ancient remains, amphorae, mediation Why-questions, knowledge-statements, belief-statements, epistemic status of scientific theories Preparation, physics and technology teachers, science and technology education, Greece Logical-mathematical games, logical reasoning, operations and logical deductions, recurrence of logical-mathematical games in daily educational activities education IBSE, primary school, Intentio, institutional science education project Gender, relationship to scientific knowledge, ROSE project, French student, secondary school science, science education Evaluation, professional competences, initial teachers, didactic roles Canadian science museums, mission statements, museum mission statements, roles, science centres, science museums education education Monologue, egocentric speech, thought, enunciative dimension, education Relativity of simultaneity, theory of conceptual fields, secondary school, Special Theory of Relativity Adequacy training-employment, epistemology, professional identity, occupational integration, teaching practices, professional knowledge, school knowledge Science education, participatory science, authenticity of learning, teaching practices, school-scientist partnerships Methodology, exploratory data analysis, inquiry based science education, teachers representations Representations, ICT uses; ICT practices; university students; digital skills Nature of science, teacher education, key-ideas, matrix of stages and strands, didactical units Bloodstream, scientific debate, language interactions, cognitive work Inquiry-based science education, previous experience, previous knowledge Mental argumentation, property based thinking, meaning in mathematics, thinking globally, the role of symbols Prospective teachers, elementary school, pedagogical competency, scientific competency, science and technology Energy, epistemological awareness, scientific constructs, trans-phenomenological aspect, system analysis Science exhibitions, technoscientific issues, practice and process, communicating controversy in science, critical viewer, negotiation Contextual issues, history of science, effective learning, physics education Early childhood science education; children’s ideas; communication; drawing activity; group discussion; research methods; Earth’s shape; day/night cycle Spatial awareness, direction, orientation, programmable toy Bee-Bot, educational scenario, preschool children’s representations Professional development, learning trajectories, student teachers, learning trajectories, expertise Problem solving, conceptual understanding, square, construction, pre-school education Visual methods, participation, early childhood, competency, Mosaic approach Early year education, decomposition, recycling, constructivist learning environment Transition, mathematics, coping styles, higher education, assessment History and Philosophy of Science, History and Philosophy of Mathematics, HP&ST education Chemical education; car catalyst; students’ misconceptions; mental models Scientific education, continuing education, teachers, high school, participatory museum, society museums, museum of civilisation, exhibition media, community of practice education Semiotic representation registers, proportionality, problem solving, tabular register, graphical register Metalinguistic function, scientific code, early childhood education, theatre semiotics SHIAKALLI, MARIA ANGELA Constructing squares as a mathematical problem solving process in pre-school |
topic_facet |
Science education, scientific revolution, history and philosophy of science and Science and mathematics education education Participation, early mathematics, mathematising process, children’s initiatives, play pedagogies Primary education, investigative approach, scientific and technological activities Material and virtual resources, praxeology, task, technique, technology, register, number sense, place-value system, Chinese abacus Science, pseudoscience, expert, media, television, media format Chemical reaction, MBL, Lebanon, labwork education Spatial skills, programming cards, Scratch Jr, tangible material, code learning education Contradictions, conflicts, turning points, early childhood, science education, motives, demands, everyday concepts, scientific concepts Explanations construction, teaching, sciences, preschool Avalanche, joint action theory for didactics (JATD), physics, resources, science communication Museology, science education, archaeological museum, interdisciplinary interpretation of museum collections, archaeometry Science disaffection, aims of science education, didactics, educational policy and administration education Technology education, curriculum, gender Content analysis, qualitative research, primary school, scientific research activity PhD studies, PhD student, supervisor, research problem Science education, chemistry, conceptions, teaching practices, atomic models Health literacy, kindergarten teacher, qualitative research, content analysis Environmental education, environmental issues, social representations, word associations, environmental conceptions Indigenous education, biology education, models, living beings classification Digital technology, documentation work, programming, students’ autonomy, teacher education education Science education, precursor models construction, flotation, teaching and learning strategy, preschool education. Science, investigation, école primaire, élèves en situation de handicap Scolarisation des élèves handicapés; habiletés éducatives; gestes professionnels d’ajustement; auxiliaire de vie scolaire; école primaire française Teacher training, mathematics teaching, scheme, instrument Teaching physics, energy concept, systems of signs, inscriptions, semiotic resources Concept force, didactic transposition, mathematical approach, students’ difficulties misconceptions France, history of science, teaching, experimental sciences, Volta. Inquiry based teaching, formulation of hypotheses, buoyancy, manipulation, students' ideas Inquiry-Based Science Education, biology in early childhood education, teaching practices in kindergarten, learning practices in kindergarten Early childhood science, drawing, young children’s ideas, change of state Science Education, Mathematics Education, international testing, school curricula Problems solving, knowledge, task, declarative, procedural, hierarchy Earth science curriculum, student learning, quality assessment, validity and reliability study, survey development Health education, educational styles, biomedical model, health promotion, textbooks Learning material; knowledge structures; WPW learning model; content specialization; engagement; heteroglossia Educative robotics, primary school, learning, micro-genetics approach, activity analysis Ethical issues, Biological Sciences, PCK, Scientific Argumentation Conception, learning, complexity, ecosystem Conception, learning, complexity, ecosystem Early childhood, graphical sign lexicons, repertoires, children’s mathematical graphics, emergent learners Young children’s thinking, sociocultural/cultural-historical theory, methodology, early childhood science Ancient remains, amphorae, mediation Why-questions, knowledge-statements, belief-statements, epistemic status of scientific theories Preparation, physics and technology teachers, science and technology education, Greece Logical-mathematical games, logical reasoning, operations and logical deductions, recurrence of logical-mathematical games in daily educational activities education IBSE, primary school, Intentio, institutional science education project Gender, relationship to scientific knowledge, ROSE project, French student, secondary school science, science education Evaluation, professional competences, initial teachers, didactic roles Canadian science museums, mission statements, museum mission statements, roles, science centres, science museums education education Monologue, egocentric speech, thought, enunciative dimension, education Relativity of simultaneity, theory of conceptual fields, secondary school, Special Theory of Relativity Adequacy training-employment, epistemology, professional identity, occupational integration, teaching practices, professional knowledge, school knowledge Science education, participatory science, authenticity of learning, teaching practices, school-scientist partnerships Methodology, exploratory data analysis, inquiry based science education, teachers representations Representations, ICT uses; ICT practices; university students; digital skills Nature of science, teacher education, key-ideas, matrix of stages and strands, didactical units Bloodstream, scientific debate, language interactions, cognitive work Inquiry-based science education, previous experience, previous knowledge Mental argumentation, property based thinking, meaning in mathematics, thinking globally, the role of symbols Prospective teachers, elementary school, pedagogical competency, scientific competency, science and technology Energy, epistemological awareness, scientific constructs, trans-phenomenological aspect, system analysis Science exhibitions, technoscientific issues, practice and process, communicating controversy in science, critical viewer, negotiation Contextual issues, history of science, effective learning, physics education Early childhood science education; children’s ideas; communication; drawing activity; group discussion; research methods; Earth’s shape; day/night cycle Spatial awareness, direction, orientation, programmable toy Bee-Bot, educational scenario, preschool children’s representations Professional development, learning trajectories, student teachers, learning trajectories, expertise Problem solving, conceptual understanding, square, construction, pre-school education Visual methods, participation, early childhood, competency, Mosaic approach Early year education, decomposition, recycling, constructivist learning environment Transition, mathematics, coping styles, higher education, assessment History and Philosophy of Science, History and Philosophy of Mathematics, HP&ST education Chemical education; car catalyst; students’ misconceptions; mental models Scientific education, continuing education, teachers, high school, participatory museum, society museums, museum of civilisation, exhibition media, community of practice education Semiotic representation registers, proportionality, problem solving, tabular register, graphical register Metalinguistic function, scientific code, early childhood education, theatre semiotics |
format |
Online |
author |
SHIAKALLI, MARIA ANGELA |
author_facet |
SHIAKALLI, MARIA ANGELA |
author_sort |
SHIAKALLI, MARIA ANGELA |
title |
Constructing squares as a mathematical problem solving process in pre-school |
title_short |
Constructing squares as a mathematical problem solving process in pre-school |
title_full |
Constructing squares as a mathematical problem solving process in pre-school |
title_fullStr |
Constructing squares as a mathematical problem solving process in pre-school |
title_full_unstemmed |
Constructing squares as a mathematical problem solving process in pre-school |
title_sort |
constructing squares as a mathematical problem solving process in pre-school |
description |
Could problem solving bethe object of teaching in early education? Could children’s engagement inproblem solving processes lead to skills and conceptual understandingdevelopment? Could appropriate teaching interventions scaffold children’sefforts? The sample consisted of 25 children attending public pre-school inCyprus. The children were asked to construct differentsized squares. Findings show that children responded positively to the problemand were successful in solving it. During the problem solving process childrendemonstrated development of skills and conceptual understanding.Teacher-children and children-children interactions played an important role inthe positive outcome of the activity. |
publisher |
Urray |
publishDate |
2013 |
url |
https://pasithee.library.upatras.gr/review/article/view/2039 |
work_keys_str_mv |
AT shiakallimariaangela constructingsquaresasamathematicalproblemsolvingprocessinpreschool |
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1771299485817765888 |