研究生: |
林宇婷 Lin, Yu-Ting |
---|---|
論文名稱: |
遊戲式數學課程提升國小資源班數學學障生數概念之行動研究—以MIND為例 An Action Research on Game-based Mathematical Program of Number Concepts for Elementary School Students with Mathematics Learning Disabilities – Taking MIND as An Example |
指導教授: |
胡心慈
Hu, Shin-Tzu |
學位類別: |
碩士 Master |
系所名稱: |
特殊教育學系 Department of Special Education |
論文出版年: | 2020 |
畢業學年度: | 108 |
語文別: | 中文 |
論文頁數: | 196 |
中文關鍵詞: | 遊戲式數學課程 、數學學障 、MIND課程 、行動研究 |
英文關鍵詞: | game-based mathematical programs, mathematics learning disabilities, MIND programs, action research |
DOI URL: | http://doi.org/10.6345/NTNU202000249 |
論文種類: | 學術論文 |
相關次數: | 點閱:200 下載:24 |
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由於研究者在數學教中面臨學習者投入大量的學習時間,但仍面臨部分學習者無法掌握數概念的困境,許多研究結果顯示遊戲式數學能提升學習動機及學習成效,因此,本研究採用行動研究,來探討使用遊戲式數學課程教學對於3位國小資源班數學學障生對於數概念的學習成效。選出在評量中進位加法與不退位減法兩項目皆低於PR3的3位中年級學生作為研究對象,以MIND為教材,施以每週3節,為期16週的教學,期間依據參與者者個別差異進行教學調整,藉由資料蒐集分析其在數概念的改變歷程及學習興趣與學習行為的轉變情形,研究結果如下:
一、根據學習者現況能力、學習特質與需求,搭配調整策略來進行數概念教學。教學所面臨問題分為遊戲進行方式所面臨的教學困境、學習者能力差異、學習者行為問題以及視知覺能力問題。對應上述情形採取彈性的教與學、詳細的遊戲規則說明、提供增強和練習,建立正向的學習環境來增進學習興趣、增加社會互動機會以及提升學習動機。
二、進行MIND教學後,學習者從加減法的感知,一路建構數字與數量概念,再運用前面基礎來熟練與自動化十的合成技能,以奠定加法計算的先備能力,將此能力用於加法計算策略中,最終達到獨立心算的目的。紙筆測驗及教學前後測結果發現,3位研究參與者在學習單的答對率有維持穩定狀況、教學前後測答對率有提升。
三、進行MIND教學後,三位研究參與者的學習興趣及學習行為均有正向的改變。
Because researchers faced that even learners spent a lot of time in the learning mathematics, but some learners still faced the dilemma of number concepts. Many research results showed that game-based mathematics could improve learning motivation and learning effectiveness. So the purpose of this study was to explore the effectiveness of learning math concepts for 3 students with mathematics learning disabilities in elementary school special education classroom using game-based mathematical programs.
This study used action research to discuss the learning effectiveness of students with mathematics learning disabilities. They were filtered by basic mathematical calculations, then selecting 3 middle school students whose carry addition and non-return subtraction were lower than PR3. After that, using MIND as the teaching material was going in duration of 3 times a week for 16 weeks. During the teaching period, the teaching adjustment was made according to the individual differences of the participants. Data were collected and analyzed by the participants' changes in the concept of numbers and the changes in learning interests and behaviors. The results show below:
1.The teaching of number sense was going with different strategies according to the learner’s current abilities, characteristics and needs. Some problems happened in teaching such as the teaching dilemma of playing games, differences of learners’ abilities, problems of learner’s behavior and learner’s visual perception. So flexible teaching and learing, detailed description of game rules and providing the chances of exercises were introduced to increace learning interest, socical interaction and motivation.
2.After teaching of MIND, learners could start forming from perception of add/sub. to concepts of number. Base on the previous foundation and sythetic skills of merge ten, the preparatory ability was used in add calculation. Eventually, learners equipped with mental arithmetic. Results of paper-and-pencil test and pre-and post test showed that 3 participates had stable performance. Rate of correct answer also increased than before.
3.After the teaching of MIND, the interest and behavior in learning of the 3 research subjects were all changed positively.
一、中文文獻
王淑惠(2013)。國小數學學習障礙學生的教學策略。雲嘉特教,18,28-34。
丘嘉慧、柯華葳 (2014)。幼兒科學及數概念發展研究回顧。應用心理研究,61,153-182。
李秀妃(2010)學習障礙學童的數學學習困難~時間篇。台東特教,31,38-42。
李香慧(2005)。透過創意遊戲數學教學提昇國小二年級低成就學生數學學習興趣及學業表現之個案研究以液量、長度、周長為例(未出版之碩士論文)。國立臺中教育大學特殊教育與輔助科技研究所,臺中市。
李嘉鈴(2006)。創意遊戲教學對提昇國小四年級數學低成就學生學習成效之研究-以正方體長方體和球,周長與面積,統計圖表為例(未出版之碩士論文)。國立臺中教育大學特殊教育學系碩士在職專班,臺中市。
汪芃(2013)。嬰兒擁有部分與生俱來的數學能力。CASE報科學,108年2月14日,取自https://case.ntu.edu.tw/blog/?p=15407。
林靖宜(2013)。數學遊戲教學對提升國小輕度智能障礙學生數學學習動機之行動研究(未出版之碩士論文)。國立屏東教育大學特殊教育學系碩士班,屏東。
秦麗花(1994)。國小數學學習障礙兒童數學 解題補救教學實施成效之比較研究。國民教育研究集刊,1,225-265。
秦麗花(1995)。數學學習障礙兒童解題錯誤類型分析。特殊教育季刊,55,33-38。
國立編譯館(1989)。國民小學數學教學指引。台北:國立編譯館。
國家教育研究院(2016)。十二年國民基本教育課程綱要國民中小學暨普通型高級中等學校數學領域草案。台北:教育部。
張世彗、洪雅惠、孔淑萱、詹士宜、梁碧明、胡永崇、吳訓生(譯)(2015)。學習障礙與其他障礙之學習困難(二版一刷)。臺北市:華騰。( Lerner, J.W., & Johns, B., 2015)
張葶葶、龍姿蓁(2017)。從磁振造影研究探討數學學習障礙之認知神經機制。當代教育研究季刊,25(4),173-206。
教育部(2012)。數學課程綱要修訂。台北:教育部。
陳念怡(2013)。0-6歲 數學好感度的關鍵期。親子天下雜誌,44。取自https://www.parenting.com.tw/article/5048440-%E8%A7%80%E5%BF%B5%E7%AF%87%EF%BC%8F0%EF%BD%9E6%E6%AD%B2+%E6%95%B8%E5%AD%B8%E5%A5%BD%E6%84%9F%E5%BA%A6%E7%9A%84%E9%97%9C%E9%8D%B5%E6%9C%9F/。
陳彥廷(2008)。數概念教學活動實踐中幼兒的表現:以「十以內合成與分解」為例。科學教育研究與發展季刊,51,60-90。
陳埩淑(2007)。幼童數量知多少?不同族群幼童數量推理發展之研究。臺中教育大學學報:數理科技類,21(1),43-64。
鈕文英(2006)。國小普通班認知障礙學生課程與教學調整方案之發展與成效研究。特殊教育與復健學報,15,21-58。
黃德華,羅家健(2009)。數學學習障礙與數學輔導教學。台灣數學教師電子期刊,18,3-17。
趙旼冠、楊憲明(2006)。數學障礙學生數學概念理解、數學推理能力與數學解題表現之關係分析研究。特殊教育與復健學報,16,73-97。
潘世尊(2005)。教育行動研究──理論、實踐與反省。台北:心理。
蔡宛臻(2014)。遊戲融入數學教學對提升國小輕度障礙學生時間概念學習成效之研究(未出版之碩士論文)。國立屏東教育大學特殊教育學系碩士班,屏東。
蔡淑桂(2013)。幼兒數概念與數學教學探討研究。幼兒教保研究期刊,10,111-126。
蔡清田(2007)。學校本位課程發展的新猷與敎務課程領導。台北:五南。
蔡清田(2011)。行動研究的理論與實踐。T&D飛訊,118。
蔡清田(2015)。行動研究的功能限制與關鍵條件。T&D飛訊,209。
二、英文文獻
American Psychiatric Association (2013). Diagnostic and Statistical Manual of Mental Disorders, 5th Edn. Washington, DC: APA. doi: 10.1176/appi.books. 9780890425596
American Psychiatric Association. (2013). Manuel diagnostique et statistique des troubles mentaux. Paris, France: Elsevier Masson.
Andrews, P., & Sayers, J. (2015). Identifying opportunities for grade one children to acquire foundational number sense:Developing a framework for cross cultural classroom analyses. Early Childhood Education Journal, 43(4), 257-267.
Ansari, D. (2008). Effects of development and enculturation on number representation in the brain. Nature Review Neuroscience, 9(4), 278-291. doi:10.1038/nrn2334
Ashcraft, M. H., & Krause, J. A. (2007). Working memory, math performance, and math anxiety. Psychonomic Bulletin and Review, 14(2), 243-248.
Aubrey, C., Dahl, S., & Godfrey, R. (2006). Early mathematics development and later achievement: Further evidence. Mathematics Education Research Journal, 18(1), 27–46.
Aunio, P., Hautamäki, J., & Van Luit, J. E. H. (2005). Mathematical thinking intervention programmes for preschool children with normal and low number sense. European Journal of Special Needs Education, 20(2), 131–146.
Badham, V. (1999). Games for primary students. Australian Primary Mathematics Classroom, 2(3), 19–23.
Bay-Williams, J. M., & Kling, G. (2014). Enriching addition and subtraction fact mastery through games. Teaching Children Mathematics, 21(4), 238-247.
Booker, G. (1996). Instructional games in the teaching and learning of mathematics. In H.Forgasz, T. Jones, G. Leder, J. Lynch, K. Maguire & C. Pearn (Eds.), Mathematics:Makingconnections (pp.77–82). Brunswick, Victoria: The Mathematical Association of Victoria.
Booker, G. (2000). The maths game: Using instructional games to teach mathematics. Wellington, New Zealand: New Zealand Council for Educational Research.
Bragg, L. (2007). Students’ conflicting attitudes towards games as a vehicle for learning mathematics: A methodological dilemma. Mathematics Education Research Journal, 19, 29-44.
Bragg, L. A. (2006). “Hey I’m learning this.” Australian Primary Mathematics Classroom, 11(4), 4–7.
Bragg, L. A. (2007). Students’ conflicting attitudes towards games as a vehicle for learning mathematics: A methodological dilemma. Mathematics Education Research Journal, 19(1), 29–44.
Bragg, L. A. (2012a). The effect of mathematical games on on-task behaviours in the primary classroom. Mathematics Education Research Journal, 24(4), 385–401
Bragg, L.(2012). Testing the effectiveness of mathematical games as a pedagogical tool for childrens learning. International Journal of Science and Mathematics Education,10, 1445-1467.
Bright, G. W., Harvey, J. G. & Wheeler, M. M. (1985). Learning and mathematics games. Journal for Research in Mathematics Education-Monograph Number, 1,1 –189.
Buchheister, K., Jackson, C., & Taylor, C. (2017) Maths games: A universal design approach to mathematical reasoning. Australian Primary Mathematics Classroom, 22(4), 7–12.
Butterworth, B., & Laurillard, D. (2010). Low numeracy and dyscalculia: Identification and intervention. ZDM, 42(6), 527-539.
Cai, J., Perry, B., Wong, N.-Y. & Wang, T. (2009). What is effective teaching? In J. Cai, G. Kaiser, B. Perry & N.-Y. Wong (Eds.), Effective mathematics teaching from teachers’ perspectives: National and cross-national studies. Rotterdam: Sense.
Chang, T. T., Rosenberg-Lee, M., Metcalfe, A. W., Chen, T., & Menon, V. (2015). Development of common neural representations for distinct numerical problems. Neuropsychologia, 75, 481-495. doi:10.1016/j.neuropsychologia.2015.07.005
Chen, Q., & Li, J. (2014). Association between individual differences in non-symbolic number acuity and math performance: A meta-analysis. Acta Psychologica, 148, 163–172. doi: 10.1016/j.actpsy.2014.01.016
Cheung, S. K., & McBride-Chang, C. (2015). Evaluation of a parent training program for promoting Filipino young children’s number sense with number card games. Child Studies in Asia-Pacific Contexts, 5(1), 39–49.
Cody, K. J., Rule, A. C., & Forsyth, B. R. (2015) Mathematical game creation and play assists students in practicing newly-learned challenging concepts. Creative Education, 6, 1484-1495.
De Smedt, B., & Gilmore, C. K. (2011). Defective number module or impaired access? Numerical magnitude processing in first graders with mathematical difficulties. Journal of Experimental Child Psychology, 108(2), 278–292. doi: 10.1016/j.jecp.2010.09.003
De Visscher, A., and Noël, M. P. (2016). Similarity interference in learning and retrieving arithmetic facts. Prog. Brain Res. 227, 131–158. doi: 10.1016/bs.pbr. 2016.04.008
Dehaene, S. (2001). Précis of “The number sense.” Mind and Language, 16(1), 16–36. doi: 10.1111/1468-0017.00154
Dehaene, S., Piazza, M., Pinel, P., & Cohen, L. (2003). Three parietal circuits for number processing. Cognitive Neuropsychology, 20(3), 487-506. doi:10.1080/02643290244000239
Devine, A., Soltész, F., Nobes, A., Goswami, U., & Szűcs, D. (2013). Gender differences in developmental dyscalculia depend on diagnostic criteria. Learning and Instruction, 27, 31–39. Retrieved from http://doi.org/10.1016/j.learninstruc.2013.02.004
doi:10.1002/hbm.21419
Dumontheil, I., and Klingberg, T. (2012). Brain activity during a visuospatial working memory task predicts arithmetical performance 2 years later. Cereb. Cortex22,1078–1085.doi:10.1093/cercor/bhr175
Dyson, N. I., Jordan, N. C., & Glutting, J. (2011). A number sense intervention for low-income kindergartners at risk for mathematics difficulties. Journal of Learning Disabilities, 46(2), 166-181. Geary
Dyson, N. I., Jordan, N. C., & Glutting, J. (2011). A number sense intervention for low-income kindergartners at risk for mathematics difficulties. Journal of Learning Disabilities, 46(2), 166-181.
Ernest, P. (1986). Games: A rationale for their use in the teaching of mathematics in school. Mathematics in School, 15(1), 2–5.
Faulkner, V. (2009). The components of number sense. Teaching Exceptional Children, 41(5), 24–30.
Feigenson, L., Dehaene, S., & Spelke, E. (2004). Core systems of number. Trends in Cognitive Sciences, 8(7), 307–314. doi: 10.1016/j.tics.2004.05.002
Fuson, K. C. (1988). Children’s counting and concepts of number. New York: Springer-Verlag.
Geary Gelman, R. & Gallistel, C.R.(1978). The child’s understanding of number. Cambridge, MA:Harvard University Press.
Geary, D. (2013). Early foundations for mathematics learning and their relations to learning disabilities. Current Directions in Psychological Science, 22(1), 23–27.
Geary, D. C. (1994). Children’s mathematics development: Research and practical applications. Washington, DC: American Psychological Association.
Geary, D. C. (2013). Early foundations for mathematics learning and their relations to learning disabilities. Current Directions in Psychological Science, 22(1), 23-27. doi:10.1177/0963721412469398 Geary
Geary, D. C., Hamson, C. O., & Hoard, M. K. (2000). Numerical and arithmetical cognition: A longitudinal study of process and concept deficits in children with learning disability. Journal of Experimental Child Psychology, 77(3), 236-263.
Geary, D. C., Hoard, M. K., Nugent, L., & Bailey, D. H. (2012). Mathematical cognition deficits in children with learning disabilities and persistent low achievement: A five-year prospective study. Journal of Educational Psychology, 104(1), 206-223. doi:10.1037/a0025398
Gerdes, P. (2001). Exploring the game of “julirde”: A mathematical-educational game played by fulbe children in Cameroon. Teaching Children Mathematics, 7(6), 321– 327.
Gersten, R., Jordan, N., & Flojo, J. (2005). Early identification and interventions for students with mathematics difficulties. Journal of Learning Disabilities, 38(4), 293–304.
Gough, J. (1993). Playing games to learn maths. In J. Mousley & M. Rice (Eds.), Mathematics of primary importance (pp. 218–221). Brunswick, Victoria: The Mathematical Association of Victoria.
Gough, J. (1999). Playing mathematical games: When is a game not a game? Australian Primary Mathematics Classroom, 4(2), 12–15.
Gough, J. (2001). Dice and board games. Australian Primary Mathematics Classroom, 6(2), 14–17.
Greeno, J. G. (1991). Number sense as situated knowing in a conceptual domain. Journal for Research in Mathematics Education, 22(3), 170-218.
Gurganus,S. (2004). Promote number sense. Intervention in School and Clinic,40(1),55-58.
Halberda, J., & Feigenson, L. (2008). Developmental change in the acuity of the "number sense": The approximate number system in 3-, 4-, 5-, and 6-year-olds and adults. Developmental Psychology, 44(5), 1457-1465.
Halberda, J., Mazzocco, M. M. M., & Feigenson, L. (2008). Individual differences in non-verbal number acuity correlate with maths achievement. Nature, 455, 665–668. doi: 10.1038/ nature07246
Hanich, L. B., Jordan, N. C., Kaplan, D., & Dick, J. (2001). Performance across different areas of mathematical cognition in children with learning difficulties. Journal of Educational Psychology, 93(3), 615-626.
Hersh, M. (2014). Evaluation framework for ICT-based learning technologies for disabled people. Computers & Education, 78, 30–47.
Hitch, G. J., & McAuley, E.(1991). Working memory in children with specific arithmetical learning difficulties. British Journal of Psychology, 82, 375-386.
Holzman, T.G., Pellegrino, J.W., & Glaser, R.(1982).Cognitive dimensions of numerical rule induction. Journal of Educational Psychology, 74, 360-373.
Hulme, C., & Roodenrys, S.(1995). Verbal working memory development and its disorders. Journal of Child Psychology and Psychiatry, 36, 373-398.
Ivrendi, A. (2011). Influence of self-regulation on the development of children’s number sense. Early Childhood Education Journal, 39(4), 239–247.
Jordan, N. C., Hanich, L. B., and Kaplan, D. (2003). A longitudinal study of mathematical competencies in children with specific mathematics difficulties versus children with comorbid mathematics and reading difficulties.Child Development.74,834–850.
Jordan, N., & Levine, S. (2009). Socioeconomic variation, number competence, and mathematics learning difficulties in young children. Developmental Disabilities Research Reviews, 15(1), 60–68.
Jordan, N., Kaplan, D., Ramineni, C., & Locuniak, M. (2009). Early math matters: Kindergarten number competence and later mathematics outcomes. Developmental Psychology, 45(3), 850–867.
Juul, J. (2005). Half-real. Video games between real rules and fictional worlds. Cambridge, MA: The MIT Press.
Kamii, C., & Rummelsburg, J. (2008). Arithmetic for first graders lacking number concepts. Teaching Children Mathematics, 14, 389-394.
Kılıç, Ç. (2011). NCTM İlkelerindeve İlköğretim MatematikDersi (1.-.5 Sınıflar) Öğretim Programında Sayı Hissi.I. Uluslararası Eğitim Programlarıve Öğretimi Kongresi, 5-7 Ekim 2011, Eskişehir, 264-265
Klein, J. S., & Bisanz, J. (2000). Preschoolers doing arithmetic: The concepts are willing but the working memory is weak. Canadian Journal of Experimental Psychology, 54, 105-115.
Kucian, K., Grond, U., Rotzer, S., Henzi, B., Schonmann, C., Plangger, F., …von Aster, M. (2011). Mental number line training in children with developmental dyscalculia. Neuroimage, 57(3), 782-795. doi:10.1016/j.neuroimage.2011.01.070
Lafay, A., St-Pierre, M., & Macoir, J. (2017). The mental number line in dyscalculia: Impaired number sense or access from symbolic numbers. Journal of Learning Disabilities,50(6), 672–683.
Lämsä, Hämäläinen, Aro, Koskima & Äyrämö(2018).Games for enhancing basic reading and maths skills: A systematic review of educational game design in supporting learning by people with learning disabilities. British Journal of Educational Technology, 49(4), 596–607.
Libertus, M. E., & Brannon, E. M. (2009). Behavioral and neural basis of number sense in infancy. Current Directions in Psychological Science, 18(6), 346-351.
Libertus, M. E., Feigenson, L., & Halberda, J. (2013). Is approximate number precision a stable predictor of math ability? Learning and Individual Differences, 25, 126–133. doi: 10.1016/j.lindif.2013.02.001
Mazzocco, M. M., and Thompson, R. E. (2005). Kindergarten predictors of math learning disability. Learn. Disabil. Res. Pract. 20, 142–155. doi: 10.1111/j.15405826.2005.00129.x
McIntosh, A., Reys, B. J., & Reys, R. E. (1992).A proposed framework for examining basic number sense. For the Learning of Mathematics, 12(3), 2-44.
McIntosh, A., Reys, B. J., Reys, R. E., Bana, J., & Farrel, B. (1997). Number sense in school mathematics: Student performance in four countries. Mathematics Science and Technology Education Centre, Edith Cowan University.
McLean, J. F., & Hitch, G. J. (1999). Working memory impairments in children with specific arithmetic learning difficulties. Journal of Experimental Child Psychology, 74(3), 240-260. doi: 10.1006/jecp.1999.2516
Menon, V. (2010). Developmental cognitive neuroscience of arithmetic: Implications for learning and education. ZDM, 42(6), 515-525. doi:10.1007/s11858-010-0242-0
Menon, V. (2015b). Arithmetic in the child and adult brain. In R. Cohen Kadosh & A. Dowker (Eds.), The Oxford handbook of numerical cognition (pp. 502-530). Oxford, England: Oxford University Press.
Mercer, C.D.,& Miller, S.P.(1992).Teaching students with learning problems in math to acquire, understand, and apply basic math facts. Remedial and Special Education, 13(3), 19-35, 61.
Moore, N. (2012). Alternative strategies for teaching mathematics. Education and Human Development Master’s Thesis Paper 130. Brockport, NY: State University of New York.
Morais, C., & Serrazina, L. (2013). Mental computation strategies in subtraction problem solving. In B. Ubuz (Ed.), CERME 8 (pp. 333-342), Ankara: Middle East of Technical University.
Nilsson, P. (2007). Different ways in which students handle chance encounters in the explorative setting of a dice game. Educational Studies in Mathematics, 66(3), 293– 315.
Nisbet, S. & Williams, A. (2009). Improving students’ attitudes to chance with games and activities. Australian Mathematics Teacher, 65(3), 25–37.
Oldfield, B. J. (1991). Games in the learning of mathematics–Part 2: Games to stimulate mathematical discussion. Mathematics in School, 20(2), 7–9.
Oldfield, B. J. (1991). Games in the learning of mathematics—Part 1: Classification. Mathematics in School, 20(1), 41–43.
Onslow, B. (1990). Overcoming conceptual obstacles: The qualified use of a game. School Science and Mathematics, 90(7), 581–592.
Passolunghi, M.C. & Siegel, L.S.(2001).Shortterm memory, working memory, and inhibitory control in children with difficulties in arithmetic problem solving. Journal of Experimental Child Psychology, 80, 44-57.
Paul A. & Judy S.(2015). Identifying opportunities for grade one children to acquire foundational number sense -Developing a framework for cross cultural classroom analyse. Early Childhood Educ J,43, 257-267.
Peters, S. (1998). Playing games and learning mathematics: The results of two intervention studies. International Journal of Early Years Education, 6(1), 49–58.
Piaget, J., & Szeminshk, A. (1952). Child's conception of number (C. Gattenoand, F. M. Hodsdon, Trans.). New York: TheHumanities Press Inc. (Original worublished 1941).
Piazza, M., Facoetti, A., Trussardi, A. N., Berteletti, I., Conte, S., Lucangeli, D., & Zorzi, M. (2010). Developmental trajectory of number acuity reveals a severe impairment in developmental dyscalculia. Cognition, 116(1), 33–41. doi: 10.1016/j.cognition.2010.03.012
Ramani, G. & Siegler, R. S. (2008). Promoting broad and stable improvements in lowincome children’s numerical knowledge through playing number board games. Child Development, 79(1), 375–394.
Ramirez, D., & Squire, K. (2015). Gamification and learning. In S. P. Waltz & S. Deterding (Eds.), Gameful world: approaches, issues, applications (pp. 629–652). Cambridge, MA: The MIT Press.
Randel, J. M., Morris, B. A., Wetzel, C. D. & Whitehill, B. V. (1992). The effectiveness of games for educational purposes: A review of recent research. Simulation & Gaming, 23(3), 261–276.
Räsänen, P., Salminen, J., Wilson, A. J., Aunio, P., & Dehaene, S. (2009). Computer-assisted intervention for children with low numeracy skills. Cognitive Development, 24, 450–472.
Reys, R., Reys, B., McIntosh, A., Emanuelsson, G., Johansson, B., & Yang, D. C. (1999). Assessing number sense of students in Australia, Sweden, Taiwan, and the United States. School Science and Mathematics, 99(2), 61-70.
Robinson, C., Menchetti, B., & Torgesen, J. (2002). Toward a twofactor theory of one type of mathematics disabilities. Learning Disabilities Research & Practice, 17(2), 81–89.
Rosenberg-Lee, M., Chang, T. T., Young, C. B., Wu, S., & Menon, V. (2011). Functional dissociations between four basic arithmetic operations in the human posterior parietal cortex: A cytoarchitectonic mapping study. Neuropsychologia, 49(9), 2592-2608.
Rousselle, L., & Noël, M.-P. (2007). Basic numerical skills in children with mathematics learning disabilities: A comparison of symbolic vs non-symbolic number magnitude processing. Cognition, 102(3), 361–395. doi: 10.1016/j.cognition.2006.01.005
Russo, J. (2018). Exploring Multiplication: Three-in-a-row lucky numbers. Teaching Children Mathematics, 24(6), 378–383.
Russo, J., Russo, T., & Bragg, Leicha A. (2018). Five principles of educationally rich mathematical games. APMC, 23(23), 30-34.
Rykhlevskaia, E., Uddin, L. Q., Kondos, L., & Menon, V. (2009). Neuroanatomical correlates of developmental dyscalculia: Combined evidence from morphometry and tractography. Frontiers Human Neuroscience, 3, 51. doi:10.3389/neuro.09.051.2009
Saine, N. L., Lerkkanen, M.-K., Ahonen, T., Tolvanen, A., & Lyytinen, H. (2011). Computer-assisted remedial reading intervention for school beginners at risk for reading disability. Child Development, 82, 1013– 1028.
Salen, K., & Zimmerman, E. (2004). Rules of play. Game design fundamentals. Cambridge, MA: The MIT Press.
Siegel, L.S., & Ryan, E.B.(1989).The development of working memory in normally achieving and subtypes of learning disabled children. Child Development, 60, 973-980.
Siegler, R. S. & Ramani, G. B. (2008). Playing linear numerical board games promotes low-income children’s numerical development. Developmental Science, 11(5), 655– 661.
Siegler, R. S. (1988). Strategy choice procedures and the development of multiplication skill. Journal of Experimental Psychology-General, 117(3), 258-275. doi:10.1037/0096-3445.117.3.258
Siegler, R. S., & Booth, J. L. (2005). Development of numerical estimation: A review. In J. I. D. Campbell (Ed.), Handbook of mathematical cognition (pp. 197-212). New York: Psychology Press.
Siemann, J., & Petermann, F. (2018). Innate or acquired? – disentangling number sense and early number competencies. Frontiers in Psychology, 9, (571) , 1-13.doi: 10.3389/fpsyg.2018.00571
Starr, A., Libertus, M. E., & Brannon, E. M. (2013). Number sense in infancy predicts mathematical abilities in childhood. Proceedings of the National Academy of Sciences of the United States of America, 110(45), 18116–18120. doi: 0.1073/pnas.1302751110
Su, H. F. (2006). Teaching strategies for students with learning disabilities in mathematics. NSU Ffoida.1,309.
Su, H. F. (2010). Using an exploratory approach to help children with autism learn mathematics, Creative Education , 1(3),149-153.
Su, H. F. (2012). Numbers to symbols: Strategies for learning and teaching mathematics (pre K - 8th grade). Charleston, SC.
Su, H. F. (2015). Creating mathematical sparks in young children (project MIND - math is not difficult book 5). Middletown, DE.
Sullivan, P., Clarke, D. M. & O’Shea, H. (2009). Students’ opinions about characteristics of their desired mathematics lessons. In L. Sparrow, B. Kissane & C. Hurst (Eds.), Shaping the future of mathematics education: Proceedings of the 33rd annual conference of the Mathematics Education Research Group of Australasia (pp. 531–539). Fremantle: MERGA.
Swan, P. (2004). I hate mathematics. Paper presented at the 2004 Mathematical Association of Victoria, Melbourne: MAV.
Swanson, H.L.(1993)Working memory in learning disability subgroups. Journal of Experimental Child Psychology, 56, 87-114.
Swanson, H.L.(1994). Short-term memory and working memory: Do both contribute to our understanding of academic achievement in children and adults with learning disabilities? Journal of Learning Disabilities, 27, 34-50.
Vandenberghe, R., Molenberghs, P., and Gillebert, C. R. (2012). Spatial attention deficits in humans: the critical role of superior compared to inferior parietal lesions. Neuropsychologia,50,1092–1103.
Whitacre, I., Henning, B., & Atabas, S. (2017). Disentangling the research literature on number sense: Three constructs, one name. Proceedings of the 39th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Indianapolis, IN.
Widaman, K. F., & Little, T. D. (1992). The development of skill in mental arithmetic: An individual differences perspective. In J. I. D. Cambell (Ed.), Advances in psychology (vol. 91, pp. 189-253). New York, NY: Elsevier.
Wilson, A. J., & Dehaene, S. (2007). Number sense and developmental dyscalculia. In D. Coch, G. Dawson, & K. W. Fischer (Eds.), Human behavior, learning, and the developing brain: Atypical development (pp. 212–238). New York, NY: Guilford Press.
Wong, T., Ho, C., & Tang, J. (2017). Defective number sense or impaired access? Differential impairments in different subgroups of children with mathematics difficulties. Journal of Learning Disabilities,50(1), 49–61.
Wood, T. (1995). From alternative epistemologies to practice in education: Rethinking what is means to teach and learn. In L. P. Steffe & J. Gale (Eds.), Constructivism in education (pp. 331–339). Hillsdale, New Jersey: Lawrence Erlbaum Associates, Publishers.
World Health Organization [WHO] (1992). The ICD-10 Classification of Mental and Behavioural Disorders: Clinical Descriptions and Diagnostic Guidelines. Geneva: World Health Organization.
Xu, F., & Spelke, E. S. (2000). Large number discrimination in 6-month-old infants. Cognition, 74, B1-B11.
Yang, D. C., Reys, R. E., & Reys, B. J. (2009). Number sense strategies used by pre-service teachers in Taiwan. International Journal of Science and Mathematics Education, 7(2), 383-403.https://doi.org/10.1007/s10763-007-9124-5
Yang, J., Han, H., Chui, D., Shen, Y., & Wu, J. (2012). Prominent activation of the intraparietal and somatosensory areas during angle discrimination by intra-active touch. Human Brain Mapping, 33,2957–2970.
Zübeyde E., & Perihan D. A.( 2018 ). Investigation of number sense strategies used by the 8th grade students in Turkey. Journal of Education and Training Studies, 6(7), 108-113.