Highlight, Write, Elaborate: Note-Taking Strategies to Master Reality-Based Mathematical Tasks

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@article{d33c47b496264d54920b159d68ed6bfd,
title = "Highlight, Write, Elaborate: Note-Taking Strategies to Master Reality-Based Mathematical Tasks",
abstract = "This study investigates the effect of note-taking strategies on solving reality-based mathematical tasks, such as highlighting relevant information, writing relevant data, and elaborating on information during the solution process. While prior research has highlighted the general benefits of note-taking for learning, few studies have examined how specific note-taking strategies operate within the context of complex, reality-based mathematics tasks. This study extends existing work by systematically analyzing how different note-taking subprocesses interact with student characteristics and influence solving success. Data of 1064 task solutions from students in grades 7–10 (Mage = 14.85, SDage = 1.26) were collected from three task contexts, each at three levels of language, and coded for subprocesses, namely, relevant and irrelevant notes, calculation paths, and elaboration strategies. The methodology included descriptive statistics, correlation analyses corrected for multiple comparisons and generalized linear mixed models to explore the relationship between note-taking strategies, personal factors (e.g., mathematical and language proficiency), and task performance. Effective note-taking strategies, such as writing and elaborating relevant information, significantly contributed to correct task solutions. Conversely, taking irrelevant notes was negatively associated with performance. The generalized linear mixed models indicated that personal characteristics, including general mathematics and language proficiency, predicted task success, text understanding, and various note-taking types. Effective note-taking enhanced students{\textquoteright} capacity to tackle complex problems. These findings address previous calls to examine in detail the subprocesses of solution strategies and underscore the importance of teaching different note-taking strategies to enhance the solving process in reality-based tasks.",
keywords = "Didactics of Mathematics, Mathematical modelling, Elaboration strategies, Organization strategies, Language competence, Word problems, note-taking",
author = "Lisa-Marie Wienecke and Dominik Leiss and Timo Ehmke",
note = "Publisher Copyright: {\textcopyright} The Author(s) 2025.",
year = "2025",
month = dec,
doi = "10.1007/s13138-025-00263-x",
language = "English",
volume = "46",
journal = "Journal f{\"u}r Mathematik-Didaktik: Zeitschrift der Gesellschaft f{\"u}r Didaktik der Mathematik (GDM)",
issn = "0173-5322",
publisher = "Springer Verlag",
number = "2",

}

RIS

TY - JOUR

T1 - Highlight, Write, Elaborate: Note-Taking Strategies to Master Reality-Based Mathematical Tasks

AU - Wienecke, Lisa-Marie

AU - Leiss, Dominik

AU - Ehmke, Timo

N1 - Publisher Copyright: © The Author(s) 2025.

PY - 2025/12

Y1 - 2025/12

N2 - This study investigates the effect of note-taking strategies on solving reality-based mathematical tasks, such as highlighting relevant information, writing relevant data, and elaborating on information during the solution process. While prior research has highlighted the general benefits of note-taking for learning, few studies have examined how specific note-taking strategies operate within the context of complex, reality-based mathematics tasks. This study extends existing work by systematically analyzing how different note-taking subprocesses interact with student characteristics and influence solving success. Data of 1064 task solutions from students in grades 7–10 (Mage = 14.85, SDage = 1.26) were collected from three task contexts, each at three levels of language, and coded for subprocesses, namely, relevant and irrelevant notes, calculation paths, and elaboration strategies. The methodology included descriptive statistics, correlation analyses corrected for multiple comparisons and generalized linear mixed models to explore the relationship between note-taking strategies, personal factors (e.g., mathematical and language proficiency), and task performance. Effective note-taking strategies, such as writing and elaborating relevant information, significantly contributed to correct task solutions. Conversely, taking irrelevant notes was negatively associated with performance. The generalized linear mixed models indicated that personal characteristics, including general mathematics and language proficiency, predicted task success, text understanding, and various note-taking types. Effective note-taking enhanced students’ capacity to tackle complex problems. These findings address previous calls to examine in detail the subprocesses of solution strategies and underscore the importance of teaching different note-taking strategies to enhance the solving process in reality-based tasks.

AB - This study investigates the effect of note-taking strategies on solving reality-based mathematical tasks, such as highlighting relevant information, writing relevant data, and elaborating on information during the solution process. While prior research has highlighted the general benefits of note-taking for learning, few studies have examined how specific note-taking strategies operate within the context of complex, reality-based mathematics tasks. This study extends existing work by systematically analyzing how different note-taking subprocesses interact with student characteristics and influence solving success. Data of 1064 task solutions from students in grades 7–10 (Mage = 14.85, SDage = 1.26) were collected from three task contexts, each at three levels of language, and coded for subprocesses, namely, relevant and irrelevant notes, calculation paths, and elaboration strategies. The methodology included descriptive statistics, correlation analyses corrected for multiple comparisons and generalized linear mixed models to explore the relationship between note-taking strategies, personal factors (e.g., mathematical and language proficiency), and task performance. Effective note-taking strategies, such as writing and elaborating relevant information, significantly contributed to correct task solutions. Conversely, taking irrelevant notes was negatively associated with performance. The generalized linear mixed models indicated that personal characteristics, including general mathematics and language proficiency, predicted task success, text understanding, and various note-taking types. Effective note-taking enhanced students’ capacity to tackle complex problems. These findings address previous calls to examine in detail the subprocesses of solution strategies and underscore the importance of teaching different note-taking strategies to enhance the solving process in reality-based tasks.

KW - Didactics of Mathematics

KW - Mathematical modelling

KW - Elaboration strategies

KW - Organization strategies

KW - Language competence

KW - Word problems

KW - note-taking

UR - http://www.scopus.com/inward/record.url?scp=105014935741&partnerID=8YFLogxK

U2 - 10.1007/s13138-025-00263-x

DO - 10.1007/s13138-025-00263-x

M3 - Journal articles

VL - 46

JO - Journal für Mathematik-Didaktik: Zeitschrift der Gesellschaft für Didaktik der Mathematik (GDM)

JF - Journal für Mathematik-Didaktik: Zeitschrift der Gesellschaft für Didaktik der Mathematik (GDM)

SN - 0173-5322

IS - 2

M1 - 12

ER -

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