Learning Theories for Maths

short-fern working memory encoding Created by: Daniel Tay X S, Singapore Adapted from notes of Dr Dawn Ng (v1dtd2014-04-07) instrumental understanding \ong-term information Experiential Learning st oring Learner construct chunking LBD his/her own knowledge memorize steps wit hout knowing why memory types {OCUSES key concepts context automacy Engaging Prior Knowledge Learning is active making units meaningful speed change of behaviour emotions Memory systems process information strategies accuracy Supported by evoking learning senses stimulus observable key concepts sense-making Distributive practice Info-Processing Model concepts nenaviour ism кеy relational understanding S-R bond focuses Parlov spaced repet it ion drawing connections response IPM Bruner sensorimo; preoperational reinforcement Piaget strategies Quiz different materials nstructiviem strategies Vygotsky Concrete Operational Diene * Drilling age-dependent maturation Perceptual Variability Simple games J.T.P conservation reversibility underst anding Learning Flash cards learning key concepts transitivity D ie Theories Principle of Multiple Embodiment schemata in identify gaps Piag e orinciple of Mathematical V ariability for Maths equilibrium cognitive generality conflict Cognitive Development Theory concept/algorithm unchanged different examples invented disequilibirum issonance assimilation Base-10 blocks at different levels accommodatiorn Spiral Curriculum topics Zone of Proximal revisited Development increasing difficulty up the level Skemp presented o. social constructivism concepts learning Understand how & key why of concepts/ algorithm, & the concept of learning requires Only understand how? Follow steps WITHOUT know reason & why scaffolding sequence-related structures rationale behind assisted by each step Discovery Learning IScaffolaing ESSENTIAL Woods et. al. Concrete relational understanding Enactive More Iconic base 10 block Knowledgeable Other Pictorial social interactions instrumental understanding Symbolic Place Value Chart Abstract Algorithm n y sical increase focuses Cogniti vism Construc feedback Br otsky