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Barbieri, Christina Areizaga; Booth, Julie L. – Applied Cognitive Psychology, 2020
Although findings from cognitive science have suggested learning benefits of confronting errors (Metcalfe, 2017), they are not often capitalized on in many mathematics classrooms (Tulis, 2013). The current study assessed the effects of examples focused on either common mathematical misconceptions and errors or correct concepts and procedures on…
Descriptors: Mathematics Skills, Problem Solving, Algebra, Misconceptions
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Barbieri, Christina Areizaga; Booth, Julie L.; Begolli, Kreshnik N.; McCann, Nicholas – Instructional Science: An International Journal of the Learning Sciences, 2021
The present study examines the effectiveness of incorporating worked examples with prompts for self-explanation into a middle school math textbook. Algebra 1 students (N = 75) completed an equation-solving unit with textbooks either containing the original practice problems or in which a portion of those problems were converted into a combination…
Descriptors: Algebra, Learning Processes, Mathematics Instruction, Middle School Students
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Barbieri, Christina A.; Miller-Cotto, Dana; Booth, Julie L. – Journal of the Learning Sciences, 2019
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 learning. Also explored were the differential effects of features for students with faulty conceptual knowledge (evidenced by a higher prevalence of making errors during…
Descriptors: Middle School Students, Algebra, Mathematics Instruction, Cues
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Hallinen, Nicole R.; Booth, Julie L. – Grantee Submission, 2018
5th graders (n=527) were randomly assigned to self-explain worked examples (WE) or solve problems during a yearlong study. WE students learned more algebra skills when given algebra worked examples on an end-of-year transfer measure. Comparing attempts, conceptual, and mechanical correctness by condition, results demonstrated that the condition…
Descriptors: Grade 5, Transfer of Training, Algebra, Elementary School Students
Booth, Julie L.; Barbieri, Christina; Eyer, Francie; Paré-Blagoev, E. Juliana – Journal of Problem Solving, 2014
Students hold many misconceptions as they transition from arithmetic to algebraic thinking, and these misconceptions can hinder their performance and learning in the subject. To identify the errors in Algebra I which are most persistent and pernicious in terms of predicting student difficulty on standardized test items, the present study assessed…
Descriptors: Algebra, Mathematics Instruction, Misconceptions, Mathematical Concepts
Barbieri, Christina; Booth, Julie L. – Grantee Submission, 2016
Middle school algebra students (N = 125) randomly assigned within classroom to a Problem-solving control group, a Correct worked examples control group, or an Incorrect worked examples group, completed an experimental classroom study to assess the differential effects of incorrect examples versus the two control groups on students' algebra…
Descriptors: Middle School Students, Algebra, Secondary School Mathematics, Randomized Controlled Trials