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Explore the evolution of affect in mathematics education from past to present and anticipate future developments. Delve into the impact of emotions, self-control, context, problem-solving, and students' achievement.
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TWG 8 at CERME (the past) • CERME 3 (2003): Bellaria, Italy • CERME 4 (2005): Sant Feliu de Guixols, Spain • CERME 5 (2007): Larnaca, Cyprus • CERME 6 (2009): Lyon, France • CERME 7 (2011): Rzeszow, Poland • CERME 8 (2013): Antalya, Turkey • CERME 9 (2015): Prague, Czech Republic • CERME 10 (2017): Dublin, Ireland
Evolution of Affect in Mathematics Education McLeod (1992) Beliefs Cognitive Affective Hannula (2011, p. 38)
Evolution of Affect in Mathematics Education Hannula, Op ‘t Eynde, Schloglmann & Wedege (2007, p. 204)
Evolution of Affect in Mathematics Education Beswick (2012, p. 130)
Evolution of Affect in Mathematics Education Hannula (2011, p. 46)
Evolution of TWG 8 • more countries represented • more papers submitted and presented • more qualitative research methodologies used • Increase in teacher affect trait and state research • increase in the use of affective frameworks for analyzing phenomena • increased interest in emotions • increased interest in meta-affective aspects • increased interest in interest • increased interest in creativity • increased interest in self-regulation • Increased interest in participationist perspectives • complementarity research from different perspectives
CERME 10 - TWG 8 (the present) • 24 papers • 2 posters • 12 countries • 11 newcomers • TWG 7 (creativity) joined us
CERME 10 - TWG 8 • beliefs • motivation • values • emotions • needs • relaxed • memory • aesthetic • confidence • meta-affect • identity • self-efficacy • meaning • motivation • values • images • views • flow • perseverance • tolerance • interest
1. EMOTIONS The double nature (state/trait) of emotions. The social and the individual nature of emotions. • cause or symptom (Di Martino) • socio-emotional (Viitala) • emotional situations (Martinez-Sierra) • emotions in situ (Lewis) • errors (Lake) • perplexity (Gómez-Chacón) • joy (Mellroth) The different pathways of emotions – go on, give up. The linguistic issues (ambiguity, communication to researchers, labels associated to a different meanings). Emotions are not directly observable – what are the indicators?
2. SELF / CONTROL • self-efficacy (Street) • self-perception (Di Martino) • self-regulation (Keffe) • meta-cognition (Mungenast) • meta-affect (Daher) • identity (Funghi) • personal meaning (Suriakumaran) • tolerance/perseverance (Liljedahl) Students’ self concept influence how they interpret the environment. The context provide available identities. The connection between the self and emotions.
3. CONTEXT The influence of the context. • outdoor education (Grotherous) • crisis (Di Martino) • vocational school (Dalby) • critical incidences (Carvajal) • emotional contexts (Martinez-Sierra) • pathways (Lewis) • critical experiences (Haser) • errors (Lake) • perplexity (Gómez-Chacón) • thinking classroom (Liljedahl) Mathematics as a context. The context is dynamic in nature and not static – it depends on the group/individuals. The transition to a different context develops/changes affect. What is the role of ethnic/cultural/historical background?
4. PROBLEM SOLVING The long tradition of research about affective construct and problem solving. • open problems (Shukajlow) • stimulating & joyful (Mellroth) • self-regulation (Keffe) • student characteristics (Viitala) • perplexity (Gómez-Chacón) • flow (Liljedahl) The importantissue of how teacher can create the context in order develop the appropriate environment for positive affect. Problem solving as a tool to involve low and high achievers and increase positive affect.
5. STUDENTS “The achievement problem”. Whatis the relationshipbetweenschoolachievement and mathematical talent? • gifted (Haataja) • high achievers (Szabo) • low achievers (Carvajal) • characterize (Viitala) School achievement and transition. The distinction between low and high-achievers apart from the marks. It is interesting to look at students who are studying mathematics in different context (e.g.modelling, IT environment).
CERME 11 – TWG 8 (the future) • Stanislaw Schukajlow – Germany • Peter Liljedahl – Canada • Hanna Viitala – Sweden, Finland, Norway • Inés M. Gómez-Chacón – Spain • ÇiğdemHaser – Turkey • Karen Skilling – UK