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Direct linkBarbieri, Christina Areizaga; Young, Laura K.; Newton, Kristie J.; Booth, Julie L. – Child Development, 2021
Fraction knowledge and algebraic skill are closely linked. Algebra is a gatekeeper for advanced courses (Booth & Newton, 2012; Brown & Quinn, 2007). This study uses the person-centered approach of latent profile analysis to examine individual differences in middle schoolers' (N = 350) algebra performance at the end of the year (EOY). The…
Descriptors: Prediction, Middle School Students, Algebra, Mathematics Instruction
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
Newton, Kristie J.; Lange, Karin; Booth, Julie L. – Journal of Experimental Education, 2020
Psychologists and mathematics educators have long viewed flexibility as critical to students' mathematical development. In this paper, we focused on the multidimensional nature of flexibility to better understand how preference, knowledge, and use of effective methods for solving algebra problems are related. In Study 1, we identified…
Descriptors: Prior Learning, Mathematics Education, Algebra, Mathematics Instruction
Download full textBooth, Julie L.; Begolli, Kreshnik N.; McCann, Nicholas – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
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 reform textbooks either containing the original practice problems or in which a portion of those problems were converted into…
Descriptors: Secondary School Mathematics, Prompting, Middle School Students, Textbooks
Lange, Karin E.; Booth, Julie L.; Newton, Kristie J. – Mathematics Teacher, 2014
For students to be successful in algebra, they must have a truly conceptual understanding of key algebraic features as well as the procedural skills to complete a problem. One strategy to correct students' misconceptions combines the use of worked example problems in the classroom with student self-explanation. "Self-explanation" is the…
Descriptors: Algebra, Mathematics Instruction, Problem Solving, Mathematics Skills
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
Booth, Julie L.; Lange, Karin E.; Koedinger, Kenneth R.; Newton, Kristie J. – Learning and Instruction, 2013
In a series of two "in vivo" experiments, we examine whether correct and incorrect examples with prompts for self-explanation can be effective for improving students' conceptual understanding and procedural skill in Algebra when combined with guided practice. In Experiment 1, students working with the Algebra I Cognitive Tutor were randomly…
Descriptors: Computer Assisted Instruction, Computer Software, Instructional Design, Educational Experiments
Booth, Julie L.; Lange, Karin E.; Koedinger, Kenneth R.; Newton, Kristie J. – Online Submission, 2013
In a series of two in vivo experiments, we examine whether correct and incorrect examples with prompts for self-explanation can be effective for improving students' conceptual understanding and procedural skill in Algebra when combined with guided practice. In Experiment 1, students working with the Algebra I Cognitive Tutor were randomly assigned…
Descriptors: Concept Formation, Algebra, Mathematics Instruction, Prompting
