scholarly journals The importance of additive reasoning in children’s mathematical achievement: A longitudinal study.

2017 ◽  
Vol 109 (4) ◽  
pp. 477-508 ◽  
Author(s):  
Boby Ho-Hong Ching ◽  
Terezinha Nunes
Keyword(s):  
Longitudinal Study ◽  
Mathematical Achievement ◽  
Additive Reasoning

A Longitudinal Study of the Predictive Relations Among Construction Play and Mathematical Achievement

2001 ◽  
Vol 167 (1) ◽  
pp. 115-125 ◽  
Author(s):  
Laura Stannard ◽  
Charles H. Wolfgang ◽  
Ithel Jones ◽  
Pamela Phelps
Keyword(s):  
Longitudinal Study ◽  
Mathematical Achievement ◽  
Predictive Relations ◽  
Construction Play

scholarly journals Do structured manipulatives aid understanding of additive reasoning, and addition and subtraction fluency in a sample of Year 7 and 8 students?

2021 ◽  
Author(s):  
◽  
Daniel Green
Keyword(s):  
Individual Differences ◽  
Large Body ◽  
Later Life ◽  
School Intervention ◽  
Mathematical Achievement ◽  
Future Research ◽  
Additive Reasoning ◽  
Addition And Subtraction ◽  
The Impact ◽  
Subtraction Facts

<p>Mathematical achievement may impact on outcomes in later life; thus, identifying and improving key mathematical skills is a focus of a large body of educational research. Both additive reasoning, and knowledge of addition and subtraction facts, appear to predict later mathematical achievement. The current study explores the impact of a short intervention with a small group of year 7 and 8 students working at lower than expected academic levels. The current study is based on Cognitive Load Theory and research suggesting that counting strategies overload working memory. A mixed-methods approach was used to identify whether structured manipulatives improved the additive reasoning and, addition and subtraction fluency in a sample of ten participants. Participants attended after-school intervention sessions of 45 minutes for seven weeks. The intervention focused on teaching additive reasoning and fluency using structured manipulatives. Inferential statistical analysis showed a statistically significant mean improvement in participants’ ability to answer simple addition and subtraction questions. Tests constructed to operationalise additive reasoning also showed statistically significant mean improvement. Participants answered diagnostic questions operationalising various aspects of additive reasoning. Individual differences in understanding of additive reasoning were observed, and the inverse relationship between addition and subtraction proved to be a challenging concept. Semi-structured interviews provided themes of valuing the intervention and the manipulatives used. Due to the size and design of this study, it is not possible to extrapolate findings to other learners. However, the study may provide directions for future research. Structured manipulatives may have a role to play in enabling learners to begin to learn additive relationships and further securing recall of addition and subtraction facts. Students at years 7 and 8 may still need considerable exposure to additive concepts; moreover, returning to manipulatives may develop this knowledge. Finally, the findings from the diagnostic questions help show the complexity of additive reasoning. Classroom practitioners may need to further develop their knowledge of additive reasoning, its importance, and the individual differences and misconceptions that learners hold in order to provide considered learning experiences.</p>

scholarly journals Do structured manipulatives aid understanding of additive reasoning, and addition and subtraction fluency in a sample of Year 7 and 8 students?

2021 ◽  
Author(s):  
◽  
Daniel Green
Keyword(s):  
Individual Differences ◽  
Large Body ◽  
Later Life ◽  
School Intervention ◽  
Mathematical Achievement ◽  
Future Research ◽  
Additive Reasoning ◽  
Addition And Subtraction ◽  
The Impact ◽  
Subtraction Facts

<p>Mathematical achievement may impact on outcomes in later life; thus, identifying and improving key mathematical skills is a focus of a large body of educational research. Both additive reasoning, and knowledge of addition and subtraction facts, appear to predict later mathematical achievement. The current study explores the impact of a short intervention with a small group of year 7 and 8 students working at lower than expected academic levels. The current study is based on Cognitive Load Theory and research suggesting that counting strategies overload working memory. A mixed-methods approach was used to identify whether structured manipulatives improved the additive reasoning and, addition and subtraction fluency in a sample of ten participants. Participants attended after-school intervention sessions of 45 minutes for seven weeks. The intervention focused on teaching additive reasoning and fluency using structured manipulatives. Inferential statistical analysis showed a statistically significant mean improvement in participants’ ability to answer simple addition and subtraction questions. Tests constructed to operationalise additive reasoning also showed statistically significant mean improvement. Participants answered diagnostic questions operationalising various aspects of additive reasoning. Individual differences in understanding of additive reasoning were observed, and the inverse relationship between addition and subtraction proved to be a challenging concept. Semi-structured interviews provided themes of valuing the intervention and the manipulatives used. Due to the size and design of this study, it is not possible to extrapolate findings to other learners. However, the study may provide directions for future research. Structured manipulatives may have a role to play in enabling learners to begin to learn additive relationships and further securing recall of addition and subtraction facts. Students at years 7 and 8 may still need considerable exposure to additive concepts; moreover, returning to manipulatives may develop this knowledge. Finally, the findings from the diagnostic questions help show the complexity of additive reasoning. Classroom practitioners may need to further develop their knowledge of additive reasoning, its importance, and the individual differences and misconceptions that learners hold in order to provide considered learning experiences.</p>

School Achievement and Adult Qualifications among Adoptees: A Longitudinal Study

1998 ◽  
Vol 39 (5) ◽  
pp. 669-685 ◽  
Author(s):  
Barbara Maughan ◽  
Stephan Collishaw ◽  
Andrew Pickles
Keyword(s):  
Longitudinal Study ◽  
School Achievement

A Longitudinal Posthumous Study of Letter Writing in a Late Elderly Case

2015 ◽  
Vol 20 (1) ◽  
pp. 22-33
Author(s):  
Angel Ball ◽  
Jean Neils-Strunjas ◽  
Kate Krival
Keyword(s):  
Longitudinal Study ◽  
Elderly Woman ◽  
Semantic Content ◽  
Cognitive Status ◽  
Letter Writing ◽  
Linguistic Performance ◽  
Errors Analysis ◽  
Normal Status

This study is a posthumous longitudinal study of consecutive letters written by an elderly woman from age 89 to 93. Findings reveal a consistent linguistic performance during the first 3 years, supporting “normal” status for late elderly writing. She produced clearly written cursive form, intact semantic content, and minimal spelling and stroke errors. A decline in writing was observed in the last 6–9 months of the study and an analysis revealed production of clausal fragmentation, decreasing semantic clarity, and a higher frequency of spelling, semantic, and stroke errors. Analysis of writing samples can be a valuable tool in documenting a change in cognitive status differentiated from normal late aging.

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