What triggers explicit awareness in implicit sequence learning? Implications from theories of consciousness
S Esser, C Lustig, H Haider - Psychological Research, 2022 - Springer
This article aims to continue the debate on how explicit, conscious knowledge can arise in
an implicit learning situation. We review hitherto existing theoretical views and evaluate their …
an implicit learning situation. We review hitherto existing theoretical views and evaluate their …
Mistakes on display: Incorrect examples refine equation solving and algebraic feature knowledge
CA Barbieri, JL Booth - Applied Cognitive Psychology, 2020 - Wiley Online Library
Although findings from cognitive science have suggested learning benefits of confronting
errors (Metcalfe, 2017), they are not often capitalized on in many mathematics classrooms …
errors (Metcalfe, 2017), they are not often capitalized on in many mathematics classrooms …
Misconceptions and learning algebra
Rather than exclusively focus on mastery of procedural skills, mathematics educators are
encouraged to cultivate conceptual understanding in their classrooms. However …
encouraged to cultivate conceptual understanding in their classrooms. However …
Lessening the load of misconceptions: Design-based principles for algebra learning
The current study examined the effectiveness of self-explanation prompts, visual signaling
cues, and a combination of the two features on middle school students'(N= 202) algebra …
cues, and a combination of the two features on middle school students'(N= 202) algebra …
Spontaneous usage of different shortcuts based on the commutativity principle
R Gaschler, B Vaterrodt, PA Frensch, A Eichler… - PLoS …, 2013 - journals.plos.org
Based on research on expertise a person can be said to possess integrated conceptual
knowledge when she/he is able to spontaneously identify task relevant information in order …
knowledge when she/he is able to spontaneously identify task relevant information in order …
The unique and shared contributions of arithmetic operation understanding and numerical magnitude representation to children's mathematics achievement
TTY Wong - Journal of experimental child psychology, 2017 - Elsevier
The current study examined the unique and shared contributions of arithmetic operation
understanding and numerical magnitude representation to children's mathematics …
understanding and numerical magnitude representation to children's mathematics …
Development of precision of non-symbolic arithmetic operations in 4-6-year-old children
Children can represent the approximate quantity of sets of items using the Approximate
Number System (ANS), and can perform arithmetic-like operations over ANS …
Number System (ANS), and can perform arithmetic-like operations over ANS …
Cognitive predictors of children's arithmetic principle understanding
TTY Wong - Journal of Experimental Child Psychology, 2023 - Elsevier
The understanding of arithmetic principles (APs) is an important component of our
conceptual mathematical knowledge, but we have limited knowledge about how children …
conceptual mathematical knowledge, but we have limited knowledge about how children …
The sums are larger than their natural number addends: Relation to operands understanding predicts growth in arithmetic/algebraic problem solving.
TTY Wong, KT Kwan - Developmental Psychology, 2023 - psycnet.apa.org
The relation to operands (RO) principles describe the relation between operands and
answers in arithmetic problems (eg, the sum is always larger than its positive addends) …
answers in arithmetic problems (eg, the sum is always larger than its positive addends) …
Does Spontaneous Attention to Relations Predict Conceptual Knowledge of Negative Numbers?
R Prather - Journal of Numerical Cognition, 2023 - jnc.psychopen.eu
Mastery of mathematics depends on the people's ability to manipulate and abstract values
such as negative numbers. Knowledge of arithmetic principles does not necessarily …
such as negative numbers. Knowledge of arithmetic principles does not necessarily …