Including the Highly Gifted and Creative Students – Current Ideas and Future Directions : Proceedings of the 11th International Conference on Mathematical Creativity and Giftedness (MCG 11) : 22.08.2019 – 24.08.2019 Universität Hamburg, Germany

This volume contains the papers presented at the 11th international Conference on Mathematical Crea­tivity and Giftedness (MCG 11) "Including the Highly Gifted and Creative Students – Current Ideas and Future Directions", held from 22.08.2019 – 24.08.2019 in Ham­burg.

Further contributors: Nolte, Marianne (Editor)
Document types:Conference object
Media types:Text
Publication date:2019
Date of publication on miami:12.12.2019
Modification date:12.12.2019
Series:Conference proceedings in mathematics education, Bd. 5
Publisher: WTM-Verlag für wissenschaftliche Texte und Medien
Edition statement:[Electronic ed.]
Subjects:Mathematische Begabung; Mathematikunterricht
DDC Subject:370: Bildung und Erziehung
510: Mathematik
Legal notice:© 2019 WTM – Verlag für wissenschaftliche Texte und Medien, Münster
License:InC 1.0
Language:English
Notes:Druckausgabe: Nolte, Marianne (Hrsg.): Including the Highly Gifted and Creative Students – Current Ideas and Future Directions : Proceedings of the 11th International Conference on Mathematical Creativity and Giftedness (MCG 11) : 22.08.2019 – 24.08.2019 Universität Hamburg, Germany. Münster : WTM, 2019. (Conference Proceedings in Mathematics Education ; 5), ISBN 978-3-95987-131-0
Format:PDF document
ISBN:978-3-95987-132-7
URN:urn:nbn:de:hbz:6-82189522597
Other Identifiers:URN: urn:nbn:de:hbz:6-82189522597
Permalink:https://nbn-resolving.de/urn:nbn:de:hbz:6-82189522597
Digital documents:wtm_isbn_978-3-95987-132-7.pdf
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500 |a Druckausgabe: Nolte, Marianne (Hrsg.): Including the Highly Gifted and Creative Students – Current Ideas and Future Directions : Proceedings of the 11th International Conference on Mathematical Creativity and Giftedness (MCG 11) : 22.08.2019 – 24.08.2019 Universität Hamburg, Germany. Münster : WTM, 2019. (Conference Proceedings in Mathematics Education ; 5), ISBN 978-3-95987-131-0 
505 0 |a CONTENT ..... 1 -- INTRODUCTION ..... 6 -- MAIN LECTURES ..... 7 -- RESEARCH ON MATHEMATICAL GIFTEDNESS IN GERMANY – LOOKING BACK AND AHEAD - TORSTEN FRITZLAR AND MARIANNE NOLTE ..... 8 -- TEACHING HIGHLY ABLE LEARNERS IN DIVERSE CLASSROOMS: PEDAGOGICAL POSSIBILITIES THROUGH COLLABORATION - ELISABET MELLROTH AND VALERIE MARGRAIN ..... 21 -- UNCERTAINTY AS A CATALYST FOR MATHEMATICAL CREATIVITY - BHARATH SRIRAMAN ..... 32 -- THEORETICAL CONSIDERATIONS ..... 52 -- OVEREXCITABILITY, ICONOCLASM AND MATHEMATICAL CREATIVITY & GIFTEDNESS - MATTHIAS BRANDL AND ATTILA SZABO ..... 53 -- THE INTERSECTION OF PROBLEM POSING AND CREATIVITY: A REVIEW - JULIA JOKLITSCHKE, LUKAS BAUMANNS, BENJAMIN ROTT ..... 59 -- PROVIDING FOR GIFTED LEARNERS IN THE REGULAR MATHEMATICS CLASSROOM: NEEDS AND THE WAY FORWARD - JACK MATHOGA MARUMO ..... 68 -- SETTING THE CEILING TOO LOW FOR MATHEMATICALLY GIFTED STUDENTS IN SOUTH AFRICAN SCHOOLS - MICHAEL KAINOSE MHLOLO ..... 73 -- WHAT IS EPISTEMOLOGY OF THE IMAGINATION? THEORY- EPISTEMOLOGICAL BASES TO MATHEMATICAL REASONING - LUIS MAURICIO RODRÍGUEZ-SALAZAR AND GUILLERMO S. TOVAR SÁNCHEZ ..... 79 -- RESEARCH ..... 86 -- GIRLS' PERFORMANCE IN THE KANGAROO CONTEST - MARK APPLEBAUM AND ROZA LEIKIN ..... 87 -- WHAT DO STUDENT TEACHERS BELIEF ABOUT MATHEMATICAL GIFTEDNESS? FIRST INSIGHTS OF AN EXPLORATORY STUDY - DANIELA ASSMUS AND RALF BENÖLKEN ..... 95 -- DISCERNING TWO CREATIVE ACTS: EXPANDING POSSIBILITIES AND DIVERGENT THINKING - AYMAN ALJARRAH AND JO TOWERS ..... 103 -- 'LEMAS' – A JOINT INITIATIVE OF GERMANY'S FEDERAL GOVERNMENT AND GERMANY'S FEDERAL STATES TO FOSTER HIGH-ACHIEVING AND POTENTIALLY GIFTED PUPILS - RALF BENÖLKEN, FRIEDHELM KÄPNICK, WIEBKE AUHAGEN, LEA SCHREIBER ..... 109 -- SOCIO-MATHEMATICAL NORMS RELATED TO PROBLEM POSING IN A GIFTED CLASSROOM - ASLI ÇAKIR AND HATICE AKKOÇ ..... 117 -- COLLECTIVE CREATIVITY IN MATHEMATICS: POSSIBLE SCENARIOS FOR SHARED MATHEMATICAL CREATIVITY - ALEXANDRE T. DE CARVALHO, CLEYTON H. GONTIJO, MATEUS G. FONSECA ..... 124 -- AN INITIAL INVESTIGATION INTO TEACHER ACTIONS THAT SPECIFICALLY FOSTER MATHEMATICAL CREATIVITY - EMILY CILLI-TURNER, MILOS SAVIC, HOUSSEIN EL TURKEY, GULDEN KARAKOK ..... 130 -- COMPARISON OF GIFTED AND MAINSTREAM 9TH GRADE STUDENTS’ STATISTICAL REASONING TYPES - TUGAY DURAK AND FATMA ASLAN TUTAK ..... 136 -- IMPROVING MATHEMATICAL MOTIVATION FROM MATHEMATICAL CREATIVITY WORKSHOPS - MATEUS G. FONSECA, CLEYTON H. GONTIJO, MATHEUS D. T. ZANETTI, ALEXANDRE T. DE CARVALHO ..... 144 -- FOSTERING YOUNG CHILDREN’S CREATIVE MINDS: KINDERGARTEN KIDS EXPLORE SCHOOL-BASED STEM LAB - VIKTOR FREIMAN AND XAVIER ROBICHAUD ..... 150 -- CREATIVE AND CRITICAL THINKING IN MATHEMATICS: A WORKSHOP FOR TEACHERS - CLEYTON HÉRCULES GONTIJO, MATHEUS DELAINE TEIXEIRA ZANETTI, MATEUS GIANNI FONSECA ..... 158 -- “BUT PAINTING IS MORE FUN” ON INTERVENTION POSSIBILITIES FOR UNDERACHIEVERS IN MATHEMATICS EDUCATION - HEIKE HAGELGANS ..... 163 -- “OH, I DO NOT LIKE THAT WHEN YOU HAVE TO JUSTIFY SOMETHING” – DIFFICULTIES IN FORMULATING ARGUMENTS AS A BASIS FOR THE SUPPORT OF MATHEMATICAL GIFTEDNESS - SIMONE JABLONSKI AND MATTHIAS LUDWIG ..... 171 -- EXPLORATION OF UNKONWN: A DIFFERENT APPROACH TO FOSTER MATHEMATICAL CREATIVITY - VINAY NAIR AND HARI RAMASUBRAMANIAN ..... 178 -- SELECTION CRITERIA FOR STUDENTS IN A DANISH MATHEMATICS TALENT PROGRAM - LÓA BJÖRK JÓELSDÓTTIR AND DORTHE ERREBO-HANSEN ..... 185 -- MATHEMATICALLY GIFTED STUDENTS’ REFLECTIONS ON USING HISTORY OF MATHEMATICS IN MATHEMATICS CLASSROOM - FIRDEVS ICLAL KARATAS AND MINE ISIKSAL BOSTAN ..... 191 -- STUDENTS’ CONCEPTIONS OF MATHEMATICAL CREATIVE THINKING AND CRITICAL THINKING IN STEM PBL ACTIVITIES - YUJIN LEE, ROBERT M. CAPRARO, MARY M. CAPRARO, KATHERINE VELA, DANIELLE BEVAN, CASSIDY CALDWELL ..... 197 -- TASKS THAT ENHANCE CREATIVE REASONING: SUPPORTING GIFTED PUPILS IN INCLUSIVE EDUCATION SYSTEMS - ANITA M. SIMENSEN AND MIRJAM H. OLSEN ..... 202 -- EXAMINING PRIMARY SCHOOL TEACHER-SUPPORT TOWARDS MATHEMATICALLY GIFTED LEARNERS IN SOUTH AFRICA - MOTSHIDISI GERTRUDE VAN WYK AND MICHAEL KAINOSE MHLOLO ..... 209 -- STEM PROJECT-BASED LEARNING ACTIVITIES: OPPORTUNITIES TO ENGAGE IN CREATIVE MATHEMATICAL THINKING? - KATHERINE VELA, DANIELLE BEVAN, CASSIDY CALDWELL, ROBERT M. CAPRARO, MARY MARGARET CAPRARO, YUJIN LEE ..... 215 -- ANALOGICAL TRANSFER AND COGNITIVE FRAMING IN PROSPECTIVE TEACHERS’ PROBLEM POSING ACTIVITIES - CRISTIAN VOICA AND FLORENCE MIHAELA SINGER ..... 222 -- PROBLEM SOLVING IN SECONDARY EDUCATION: A QUALITATIVE ANALYSIS OF THE DIFFERENCES BETWEEN HIGHLY AND MILDLY GIFTED STUDENTS - ELINE WESTERHOUT, ISABELLE VAN DRIESSEL, BJÖRN VAN DER HELM ..... 229 -- PROSPECTIVE TEACHERS’ VIEWS ON MATHEMATICAL GIFTEDNESS AND ON TEACHERS OF MATHEMATICALLY GIFTED STUDENTS - GÖNÜL YAZGAN-SAĞ ..... 236 -- IMPROVING MATHEMATICAL CREATIVITY IN THE CLASSROOM: A CASE STUDY OF A FOURTH-GRADE TEACHER - ARIANTHI ZIOGA AND DESPINA DESLI ..... 242 -- PROPOSALS FOR PRACTICE ..... 249 -- MAGIC POLYGONS AND ITS USAGE IN WORK WITH GIFTED PUPILS - ELĪNA BULINA AND ANDREJS CIBULIS ..... 250 -- GROUP THEORY VIA SYMMETRIES FOR ENRICHMENT CLASSES FOR GIFTED YOUTH - KARL HEUER AND DENIZ SARIKAYA ..... 257 -- EXTENSION AND DEVELOPMENT OF DIFFERENT NON-NEWTONIAN CALCULUS IN ORDER TO SOLVE DIFFERENT DIFFERENTIAL AND DIFFERENCE EQUATIONS BASED ON MATHEMATICAL EDUCATION APPROACHES - M. JAHANSHAHI AND N. ALIEV ..... 264 -- PÓSA METHOD: TALENT NURTURING IN WEEKEND MATH CAMPS - PÉTER JUHÁSZ AND DÁNIEL KATONA ..... 270 -- MATHEMATICS EDUCATION PRE-SERVICE TEACHERS AWARENESS OF GIFTED STUDENTS’ CHARACTERISTICS - LUKANDA KALOBO AND MICHAEL KAINOSE MHLOLO ..... 277 -- SIMPLE BUT USEFUL TASKS WITH GEOMETRICAL CONTENT AND CREATIVE FLAVOUR - ROMUALDAS KAŠUBA AND EDMUNDAS MAZĖTIS ..... 284 -- VISUALIZATION OF THE FIRST STEPS OF NUMBER THEORY FOR ELEMENTARY SCHOOL CHILDREN – A PYTHAGOREAN APPROACH - PETER KOEHLER ..... 290 -- INCUBATING MATHEMATICAL CREATIVITY THROUGH A MOLECULAR GASTRONOMY 101 SATURDAY ENRICHMENT CAMP - CONNY PHELPS ..... 296 -- IT’S NOT ALWYS SIMPLER TO USE “MAKE IT SIMPLER” - WILLIAM R. SPEER ..... 304 -- PEDAGOGY OF IMAGINATION: EPISTOMOLOGICAL FOUNDATIONS TO DEVELOP MATHEMATICAL THINKING IN PRESCHOOL STUDENTS - LUIS MAURICIO RODRÍGUEZ-SALAZAR, CARMEN PATRICIA ROSAS-COLÍN, RAMSÉS DANIEL MARTÍNEZ-GARCÍA ..... 311 -- TASKS ON VISUAL PATTERNS AS THE FIRST STAGE OF INTRODUCING ALGEBRA CONCEPTS - INGRIDA VEILANDE ..... 319 -- CREATIVITY, TECHNOLOGY AND “OUT SCHOOL” INTERESTING MATHEMATICS WITH TECHNOLOGY DURING OUT SCHOOL - SHIN WATANABE ..... 327 -- WORKSHOP ..... 335 -- MATHEMATIZING CREATIVE STEM PBL ACTIVITIES - MARY M. CAPRARO, ROBERT M. CAPRARO KATHERINE N. VELA, CASSIDY CALDWELL, DANIELLE BEVAN, YUJIN LEE ..... 336 -- WORKSHOP: VARIATIONS IN OPEN PROBLEM FIELDS AS A TOOL FOR MATHEMATICAL EDUCATION: FROM BASICS TO OPEN QUESTIONS IN 90 MINUTES - KARL HEUER AND DENIZ SARIKAYA ..... 340 -- AN INTRODUCTORY WORKSHOP TO THE VISUALIZATION OF THE FIRST STEPS OF NUMBER THEORY FOR ELEMENTARY SCHOOL CHILDREN – A PYTHAGOREAN APPROACH - PETER KOEHLER ..... 342 -- SHAPE UP: PROVEN SPATIAL ACTIVITIES FOR ELEMENTARY STUDENTS - LINDA JENSEN SHEFFIELD ..... 345 -- SPIROGRAPH – A TOY AS A MATHEMATICAL PROBLEM - PETER STENDER ..... 347 -- SYMPOSIUM ..... 355 -- TAPPING MATHEMATICAL CREATIVITY THROUGH PROBLEM SOLVING: PROBLEM-MATRIX FRAMEWORK FOR TEACHING FOR CREATIVITY IN THE MATH CLASSROOM - A. KADIR BAHAR AND SINAN KANBIR ..... 356 -- RESEARCH WITHIN THE FRAMEWORK OF THE HAMBURGER MODEL FOR THE PROMOTION OF PARTICULARLY MATHEMATICALLY GIFTED CHILDREN AND ADOLESCENTS - NINA KRÜGER, MIEKE JOHANNSEN, LUCA F. SMOYDZIN, HENRIK GENZEL, MARGUERITE I. PERITZ, JAKOB MEYER, SÖREN FIEDLER, MONIKA DASEKING ..... 358 -- POSTER ..... 366 -- AFFECTS OF MATHEMATICALLY GIFTED STUDENTS RELATED TO REVOLVING DOOR MODELS - WIEBKE AUHAGEN ..... 367 -- CREATIVE PROCESSES OF FIRST GRADERS WORKING ON ARITHEMTIC OPEN TASKS - SVENJA BRUHN ..... 371 -- MATHEMATICAL INTERACTIONS WITH GIFTED ADOLESCENTS - RYAN D. FOX ..... 374 -- DIFFERENTIATED INSTRUCTION USING LEARNING MANAGEMENT SYSTEMS IN UPPER SECONDARY SCHOOL AND UNIVERSITY LEVEL – A RESEARCH PROPOSAL - ELISABET MELLROTH, MIRELA VINEREAN-BERNHOFF, MATTIAS BOSTRÖM, YVONNE LILJEKVIST ..... 378 -- RESEARCH AND DEVELOPMENT TASKS WITHIN THE FRAMEWORK OF THE PRIMA-PROJEKT IN HAMBURG ..... 381 -- MARIANNE NOLTE, KIRSTEN PAMPERIEN, KATRIN VORHÖLTER ..... 381. 
506 1 |a restricted access 
520 3 |a This volume contains the papers presented at the 11th international Conference on Mathematical Crea­tivity and Giftedness (MCG 11) "Including the Highly Gifted and Creative Students – Current Ideas and Future Directions", held from 22.08.2019 – 24.08.2019 in Ham­burg. 
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