| 期刊論文| 1. | Reys, R. E.、Rybolt, J. F.、Bestgen, B. J.、Wyatt, J. W.(1982)。Processes used by good computational estimators。Journal for Research in Mathematics Education，13(3)，183-201。   | | 2. | Kirschner, P. A.、Sweller, J.、Clark, R. E.(2006)。Why minimal guidance during instruction does not work: An analysis of the failure of constructivist, discovery, problem-based, experiential, and inquiry-based teaching。Educational Psychologist，41(2)，75-86。 | | 3. | Imbo, I.、Vandierendonck, A.、Vergauwe, E.(2007)。The role of working memory in carrying and borrowing。Psychological Research，71(4)，467-483。 | | 4. | Pellegrino, J. W.、Goldman, S. R.(1987)。Information processing and elementary mathematics。Journal of Learning Disabilities，20(1)，23-32。 | | 5. | Geary, D. C.(2011)。Cognitive predictors of achievement growth in mathematics: A 5-year longitudinal study。Developmental Psychology，47(6)，1539-1552。 | | 6. | Pivec, M.(2007)。Editorial: Play and learn: potentials of game-based learning。British Journal of Educational Technology，38(3)，387-393。 | | 7. | 楊德清、黃瓊賢(20120600)。心算教學活動實踐於小一數學課室之研究。教育科學研究期刊，57(2)，125-154。 延伸查詢 | | 8. | Kingsdorf, S.、Krawec, J.(2014)。Error analysis of mathematical word problem solving across students with and without learning disabilities。Learning Disabilities Research & Practice，29(2)，66-74。 | | 9. | Gunderson, E. A.、Ramirez, G.、Beilock, S. L.、Levine, S. C.(2012)。The relation between spatial skill and early number knowledge: the role of the linear number line。Developmental psychology，48(5)，1229-1241。 | | 10. | 黃國禎、付慶科(20171000)。遊戲式學習的發展與應用：近20年的文獻探討與趨勢預測。教育研究月刊，282，4-25。 延伸查詢 | | 11. | Artemenko, C.、Moeller, K.、Huber, S.、Klein, E.(2015)。Differential Influences of Unilateral tDCS Over the Intraparietal Cortex on Numerical Cognition。Frontiers in Human Neuroscience，9，(110)1-(110)8。 | | 12. | Artemenko, C.、Pixner, S.、Moeller, K.、Nuerk, H. C.(2018)。Longitudinal Development of Subtraction Performance in Elementary School。British Journal of Developmental Psychology，36(2)，188-205。 | | 13. | Chesney, D. L.、McNeil, N. M.、Matthews, P. G.、Byrd, C. E.、Petersen, L. A.、Wheeler, M. C.、Dunwiddie, A. E.(2014)。Organization matters: Mental Organization of Addition Knowledge Relates to Understanding Math Equivalence in Symbolic form。Cognitive Development，30，30-46。 | | 14. | Cirino, P. T.、Tolar, T. D.、Fuchs, L. S.、Huston-Warren, E.(2016)。Cognitive and Numerosity Predictors of Mathematical Skills in Middle School。Journal of Experimental Child Psychology，145，95-119。 | | 15. | De Corte, E.、Verschaffe, L.、Pauwels, A.(1990)。Influence of the Semantic Structure of Word Problems on Second Graders' Eye Movements。Journal of Educational Psychology，82(2)，359-365。 | | 16. | Deschuyteneer, M.、De Rammelaere, S.、Fias, W.(2005)。The Addition of Two-digit Numbers: Exploring Carry Versus No-carry Problems。Psychology Science，47(1)，74-83。 | | 17. | Erdem, Emrullah(20170800)。Mental Computation: Evidence from Fifth Graders。International Journal of Science and Mathematics Education，15(6)，1157-1174。 | | 18. | Fuchs, L. S.、Gilbert, J. K.、Powell, S. R.、Cirino, P. T.、Fuchs, D.、Hamlett, C. L.、Tolar, T. D.(2016)。The Role of Cognitive Processes, Foundational Math Skill, and Calculation Accuracy and Fluency in Word-problem Solving Versus Pre-algebraic Knowledge。Developmental Psychology，52(12)，2085-2098。 | | 19. | Geary, D. C.、Moore, A. M.(2016)。Cognitive and Brain Systems Underlying Early Mathematical Development。Progress in Brain Research，227，75-103。 | | 20. | Gobel, S. M.、Moeller, K.、Pixner, S.、Kaufmann, L.、Nuerk, H. C.(2014)。Language Affects Symbolic Arithmetic in Children: the Case of Number Word Inversion。Journal of Experimental Child Psychology，119，17-25。 | | 21. | Heirdsfield, A.(2011)。Teaching Mental Computation Strategies in Early Mathematics。Young Children，66(2)，96-102。 | | 22. | Imbo, I.、Vandierendonck, A.(2008)。Practice Effects on Strategy Selection and Strategy Efficiency in Simple Mental Arithmetic。Psychological Research，72(5)，528-541。 | | 23. | Linsen, S.、Verschaffel, L.、Reynvoet, B.、De Smedt, B.(2015)。The Association Between Numerical Magnitude Processing and Mental Versus Algorithmic Multi-Digit Subtraction in Children。Learning and Instruction，35，42-50。 | | 24. | Liu, A. S.、Kallai, A. Y.、Schunn, C. D.、Fiez, J. A.(2015)。Using Mental Computation Training to Improve Complex Mathematical Performance。Instructional Science，43(4)，463-485。 | | 25. | Mardjetko, E.、Macpherson, J.(2007)。Is Your Classroom Mental? Guidelines for Enhancing the Development of Strategies for Mental Computation。Australian Primary Mathematics Classroom，12(2)，4-9。 | | 26. | McFarlane, A.(2003)。Editorial. Assessment for the Digital Age。Assessment in Education Principles Policy and Practice，10(3)，261-266。 | | 27. | McIntosh, A.、Nohda, N.、Reys, B. J.、Reys, R. E.(1995)。Mental Computation Performance in Australia, Japan and the United States。Educational Studies in Mathematics，29(3)，237-258。 | | 28. | McIntosh, A.、Reys, R. E.、Reys, B. J.(1997)。Mental Computation in the Middle Grades: The Importance of Thinking Strategies。Mathematics Teaching in the Middle School，2(5)，322-327。 | | 29. | Nuerk, H. C.、Moeller, K.、Klein, E.、Willmes, K.、Fischer, M. H.(2011)。Extending the Mental Number Line: A Review of Multi-Digit Number Processing。Zeitschrift Für Psychologi，219(1)，3-22。 | | 30. | Orrantia, J.、Rodríguez, L.、Múñez, D.、Vicente, S.(2012)。Inverse Reference in Subtraction Performance: An Analysis from Arithmetic Word Problems。Quarterly Journal of Experimental Psychology，65(4)，725-738。 | | 31. | Price, G. R.、Mazzocco, M. M. M.、Ansari, D.(2013)。Why Mental Arithmetic Counts: Brain Activation During Single Digit Arithmetic Predicts High School Math Scores。Journal of Neuroscience，33(1)，156-163。 | | 32. | Qin, S.、Cho, S.、Chen, T.、Rosenberg-Lee, M.、Geary, D.、Menon, V.(2014)。Hippocampal-Neocortical Functional Reorganization Underlies Children's Cognitive Development。Nature Neuroscience，17(9)，1263-1269。 | | 33. | Reys, B. J.、Reys, R. E.(1986)。One Point of View: Mental Computation and Computational Estimation-Their Time Has Come。Arithmetic Teacher，33(7)，4-5。 | | 34. | Rickard, T. C.、Healy, A. F.、Bourne, L. E.(1994)。On the Cognitive Structure of Basic Arithmetic Skills: Operation, Order, and Symbol Transfer Effects。Journal of Experimental Psychology: Learning, Memory, and Cognition，20(5)，1139-1153。 | | 35. | Thompson, C. A.、Opfer, J. E.(2008)。Costs and Benefits of Representational Change: Effects of Context on Age and Sex Differences in Symbolic Magnitude Estimation。Journal of Experimental Child Psychology，101(1)，20-51。 | | 36. | Torbeyns, J.、Verschaffel, L.(2013)。Efficient and Flexible Strategy Use on Multi-Digit Sums: A Choice/No-Choice Study。Research in Mathematics Education，15(2)，129-140。 | | 37. | Vanbinst, K.、De Smedt, B.(2016)。Individual Differences in Children's Mathematics Achievement: The Roles of Symbolic Numerical Magnitude Processing and Domain-General Cognitive Functions。Progress in Brain Research，227，105-130。 | | 38. | 劉曼麗、侯淑芬(20060400)。整數數感融入國小四年級數學科教學之研究。科學教育學刊，14(2)，121-147。 延伸查詢 | | 39. | Swanson, H. L.(2004)。Working memory and phonological processing as predictors of children's mathematical problem solving at different ages。Memory & Cognition，32(4)，648-661。 | | 40. | Maclellan, E.(2001)。Mental calculation: Its place in the development of numeracy。Westminster Studies in Education，24(2)，145-154。 | | 41. | Reys, R. E.、Reys, B. J.、Nohda, N.、Emori, H.(1995)。Mental computation performance and strategy use of Japanese students in grades 2, 4, 6 and 8。Journal for Research in Mathematics Education，26(4)，304-326。 | | 42. | Varol, F.、Farran, D.(2007)。Elementary school students' mental computation proficiencies。Early Childhood Education Journal，35(1)，89-94。 | | 43. | Heirdsfield, A. M.、Cooper, T. J.(2004)。Inaccurate mental addition and subtraction: Causes and compensation。Focus on Learning Problems in Mathematics，26(3)，43-65。 | | 44. | LeFevre, J.-A.、Fast, L.、Skwarchuk, S.-L.、Smith-Chant, B. L.、Bisanz, J.、Kamawar, D.、Penner-Wilger, M.(2010)。Pathways to mathematics: Longitudinal predictors of performance。Child Development，81(6)，1753-1767。 | 會議論文| 1. | Hannula, M. S.(2003)。Locating fraction on a number line。The 27th Conference of the International Group for the Psychology of Mathematics Education。Honolulu, Hawaii。17-24。 | | 2. | Heirdsfield, A. M.(2003)。Spontaneous Mental Computation Strategies。The 27th Conference of the International Group for the Psychology of Mathematics Education，55-62。 | | 3. | Kallai, A. Y.、Schunn, C. D.、Ponting, A. L.、Fiez, J. A.(2011)。Improving Foundational Number Representations Through Simple Arithmetical Training。The SREE Fall 2011 Conference Abstract Template，1-6。 | | 4. | Rogers, A.(2009)。Mental Computation in the Primary Classroom。The MAV Annual Conference 2009 Mathematics Of Prime Importance，190-199。 | 圖書| 1. | National Council of Teachers of Mathematics(2000)。Principles and Standards for school Mathematics。NCTM。 | | 2. | Hattie, J. A. C.、Yates, G. C. R.(2014)。Visible Learning and the Science of how We Learn。London：Routledge。 | | 3. | McIntosh, A.(2005)。Developing Computation。Department of Education。 | | 4. | National Council of Teachers of Mathematics(2014)。Procedural Fluency in Mathematics。NCTM。 | 其他| 1. | US Department of Education Office of Educational Technology(20170115)。Reimagining the role of technology in education: 2017 national education technology plan update，https://tech.ed.gov/files/2017/01/NETP17.pdf， 。 | | 2. | National Governors Association Center for Best Practices，Council of Chief State School Officers(20100310)。Standards for Mathematical Practice，http://www.corestandards.org/Math/Practice/。 | | 3. | Shannon, H.(20150617)。No More Mental Math?，http://smhanna6620.weebly.com/uploads/5/3/4/5/53459203/news_flash_first_cycle.pdf。 | | 4. | United Kingdom Department of Education(20140716)。National Curriculum in England: Mathematics Programmes of Study，https://www.gov.uk/government/publications/national-curriculum-in-england-mathematics-programmes-ofstudy。 | 圖書論文| 1. | Verschaffel, L.、Greer, B.、De Corte, E.(2007)。Whole number concepts and operations。Second Handbook of research on mathematics teaching and learning: A project of the national council of teachers of mathematics。Information Age。 | | 2. | Mogey, N.、Watt, H.(1996)。The Use of Computers in the Assessment of Student Learning。Implementing Learning Technology。Learning Technology Dissemination Initiative。 | |
| |