Spontaneous focusing on quantitative relations as a predictor of the development of rational number conceptual knowledge.

Jake McMullen, Minna M. Hannula‐Sormunen, Eero Laakkonen, Erno Lehtinen

Type: Article

Publication Date: 2015-11-23

Citations: 37

DOI: https://doi.org/10.1037/edu0000094

View Publication

Locations

Journal of Educational Psychology - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Promoting 5th Grade Students’ Spontaneous Focusing on Quantitative Relations	2024	Saku Määttä Minna M. Hannula‐Sormunen Kristian Kiili Hilma Halme Antti Koskinen Jake McMullen
+	THE RELATION BETWEEN LEARNERS’ SPONTANEOUS FOCUSING ON QUANTITATIVE RELATIONS AND THEIR RATIONAL NUMBER KNOWLEDGE	2016	Jo Van Hoof Tine Degrande Jake McMullen Minna M. Hannula‐Sormunen Erno Lehtinen Lieven Verschaffel Wim Van Dooren
+	Spontaneous Mathematical Focusing Tendencies in Mathematical Development and Education	2018	Jake McMullen Jenny Yun‐Chen Chan Michèle M. M. Mazzocco Minna M. Hannula‐Sormunen
+ PDF Chat	Guiding students’ attention towards multiplicative relations around them: A classroom intervention	2022	Saku Määttä Minna M. Hannula‐Sormunen Hilma Halme Jake McMullen
+	Spontaneous focusing on quantitative relations as a predictor of rational number development in students. In J. McMullen (Chair), Expanding inquiries of spontaneous mathematical focusing tendency within mathematical development. Symposium conducted at the biennial meeting of the European Association for Research on Learning and Instruction (EARLI)	2015	Jo Van Hoof Tine Degrande Jake McMullen Minna M. Hannula‐Sormunen Lieven Verschaffel Erno Lehtinen Wim Van Dooren
+	Spontaneous Focusing on Quantitative Relations and the Development of Rational Number Conceptual Knowledge	2014	Jake McMullen
+ PDF Chat	Predicting adaptive expertise with rational number arithmetic	2021	Jake McMullen Minna M. Hannula‐Sormunen Erno Lehtinen Robert S. Siegler
+	Moving mathematics out of the classroom: Using mobile technology to enhance spontaneous focusing on quantitative relations	2017	Jake McMullen Minna M. Hannula‐Sormunen Mikko Kainulainen Kristian Kiili Erno Lehtinen
+	The role of mathematical cognition-based learning design in improving a slow learner understanding about numbers	2023	Ahmad Fauzan Wita Tri Yanti
+ PDF Chat	Primary School Teachers' Conceptual and Procedural Knowledge of Rational Number and Its Effects on Pupils' Achievement in Rational Numbers	2016	R. M. Kashim
+	Spontaneous focusing on multiplicative relations and fraction magnitude knowledge	2020	Jake McMullen Robert S. Siegler
+ PDF Chat	Does spontaneous attention to relations predict conceptual knowledge of negative numbers?	2023	Richard Prather
+	The Impact of Unbalanced Development between Conceptual Knowledge and Procedural Knowledge to Knowledge Development of Students’ in Rational Number Domain	2012	Kim Ahyoung
+	Learning Rational Numbers through an Emergent Modeling Process enhanced by Percentage	2017	Helena Gil Helena Gil Guerreiro Serrazina Uidef
+	Spontaneous focusing on quantitative relations as a predictor of rational number and algebra knowledge	2017	Jake McMullen Minna M. Hannula‐Sormunen Erno Lehtinen
+	What’s Perception Got To Do with It? Re-framing Foundations for Rational Number Concepts	2018	Percival G. Matthews Ryan Ziols
+	A praxeological analysis of pre-service elementary teachers’ knowledge of rational numbers	2018	Zetra Hainul Putra
+	Everyday Context and Mathematical Learning: On the Role of Spontaneous Mathematical Focusing Tendencies in the Development of Numeracy	2019	Minna M. Hannula‐Sormunen Jake McMullen Erno Lehtinen
+	Learning rational number concepts and skills in elementary classrooms: Translating research to the elementary classroom	2010	Kathleen Cramer Stephanie R. Whitney
+ PDF Chat	Rational number understanding: The big picture, not the essence	2019	Bruce J. Brown

Works That Cite This (36)

Action	Title	Year	Authors
+	Spontaneous focusing on what and why? What children’s imprecise responses reveal about their mathematical thinking and relational reasoning	2020	Patricia A. Alexander Hongyang Zhao Yuting Sun
+ PDF Chat	Focusing on spontaneous focusing	2020	Matthew Inglis
+ PDF Chat	Spontaneous focusing on numerosity (SFON) of children in informal learning environment	2020	Shuang Cui Ya‐Ru Gao Yangyang Wang Bijuan Huang Jiwei Si
+	Spontaneous focusing on multiplicative relations and fraction magnitude knowledge	2020	Jake McMullen Robert S. Siegler
+	The role of relational preference in word-problem solving in 6- to 7-year-olds	2022	Elien Vanluydt Lieven Verschaffel Wim Van Dooren
+ PDF Chat	Early Mathematical Competencies and Key Context Features That Promote Their Development	2023	Amela Mujagić Karmelita Pjanić Edin Liđan
+	Cultivating mathematical skills: from drill-and-practice to deliberate practice	2017	Erno Lehtinen Minna M. Hannula‐Sormunen Jake McMullen Hans Gruber
+	Young Children’s Early Mathematical Competencies: The Role of Mathematical Focusing Tendencies	2020	Lieven Verschaffel Sanne Rathé Nore Wijns Tine Degrande Wim Van Dooren Bert De Smedt Joke Torbeyns
+	Preschool spontaneous focusing on numerosity predicts rational number conceptual knowledge 6 years later	2015	Jake McMullen Minna M. Hannula‐Sormunen Erno Lehtinen
+ PDF Chat	Promoting 5th Grade Students’ Spontaneous Focusing on Quantitative Relations	2024	Saku Määttä Minna M. Hannula‐Sormunen Kristian Kiili Hilma Halme Antti Koskinen Jake McMullen

Works Cited by This (39)

Action	Title	Year	Authors
+	Spontaneous Focusing on Numerosity in the Development of Early Mathematical Skills	2005	Minna M. Hannula‐Sormunen
+	Preschool Children’s Spontaneous Focusing on Numerosity, Subitizing, and Counting Skills as Predictors of Their Mathematical Performance Seven Years Later at School	2015	Minna M. Hannula‐Sormunen Erno Lehtinen Pekka Räsänen
+	Spontaneous Focusing on Quantitative Relations and the Development of Rational Number Conceptual Knowledge	2014	Jake McMullen
+	Does half a pizza equal half a box of chocolates?	2001	Karen Singer‐Freeman Usha Goswami
+	Frontline Learning Research	2015	Maria Bempeni Xenia Vamvakoussi
+ PDF Chat	Patterns of strengths and weaknesses in children’s knowledge about fractions	2011	Steven A. Hecht Kevin J. Vagi
+	The development of students’ understanding of the numerical value of fractions	2004	Stamatia Stafylidou Stella Vosniadou
+	Perceptions of proportionality in young children: matching spatial ratios	2000	Catherine Sophian
+	Inhibiting natural knowledge in fourth graders: towards a comprehensive test instrument	2014	Jo Van Hoof Rianne Janssen Lieven Verschaffel Wim Van Dooren
+ PDF Chat	Understanding the structure of the set of rational numbers: a conceptual change approach	2004	Xenia Vamvakoussi Stella Vosniadou