| 期刊論文1. | 吳昭容、徐千惠(20100300)。兒童如何在重複中找到規律?--重複樣式的程序性與概念性知識。教育科學研究期刊,55(1),1-25。 延伸查詢 | 2. | Warren, E.、Cooper, T.(2006)。Using repeating patterns to explore functional thinking。Australian Primary Mathematics Classroom,11(1),9-13。 | 3. | Starkey, P.、Klein, A.、Wakeley, A.(2004)。Enhancing young children's mathematical knowledge through a pre-kindergarten mathematics intervention。Early childhood Research Quarterly,19(1),99-120。 | 4. | 陳英娥、林福來(19980600)。數學臆測的思維模式。科學教育學刊,6(2),191-218。 延伸查詢 | 5. | Mulligan, J. T.、Mitchelmore, M. C.(2009)。Awareness of pattern and structure in early mathematical development。Mathematics Education Research Journal,21(2),33-49。 | 6. | 吳昭容、嚴雅筑(20080600)。樣式結構與回饋對幼兒發現重複樣式的影響。科學教育學刊,16(3),303-324。 延伸查詢 | 7. | 趙曉燕、鍾靜(20101200)。國小六年級學童對圖形樣式問題之解題探究。台灣數學教師(電子)期刊,24,1-23。 延伸查詢 | 8. | Cooper, T. J.、Warren, E.(2008)。The effect of different representations on years 3 to 5 students' ability to generalize。ZDM-The International Journal on Mathematics Education,40(1),23-37。 | 9. | Krebs, A. S.(2005)。Take time for action: Studying students' reasoning in writhing generalizations。Mathematics Teaching in the Middle School,10(6),284-287。 | 10. | Lynn, M. M.(2013)。Is it a pattern?。Teaching Children Mathematics,19(9),564-571。 | 11. | Papic, M. M.、Mulligan, J. T.、Mitchelmore, M. C.(2011)。Assessing the development of preschoolers' mathematical patterning。Journal for Research in Mathematics Education,42(3),237-269。 | 12. | Rittle-Johnson, B.、Fyfe, E. R.、McLean, L. E.、McEldoon, K. L.(2013)。Emerging understanding of patterning in 4-year-olds。Journal of Cognition and Development,14(3),376-396。 | 13. | Stylianides, G. J.(2008)。An analytic framework of reasoning-and-proving。For the Learning of Mathematics,28(1),9-16。 | 14. | Stylianides, G. J.(2009)。Reasoning-and-proving in school mathematics textbooks。Mathematical Thinking and Learning,11(4),258-288。 | 會議論文1. | Lüken, M. M.、Peter-Koop, A.、Kollhoff, S.(2014)。Influence of early repeating patterning ability on school mathematics learning。The 38th Conference of the International Group for the Psychology of Mathematics Education and the 36th Conference of the North American Chapter of the Psychology of Mathematics Education。Vancouver:PME。138-145。 | 2. | Mouhayar, R. E.(2014)。Teachers' ability to explanin student reaponing in pattern generalization tasks。38th Psychology of Mathematics Education conference and the 36th Conference of the North American Chapter of the Psychology of Mathematics Education。Vancouver:PME。258-265。 | 3. | Mulligan. J. T.、Mitchelmore, M. C.、English, L. D.、Robertson, G.(2010)。Implementing a Pattern and Structure Mathematics Awareness Program (PASMAP) in kindergarten。The 33rd annual conference of the Mathematics Education Research Group of Australasia。Freemantle:MERGA。796-803。 | 4. | Mulligan, J. T.、Mitchelmore, M. C.、English, L. D.、Crevensten, N.(2012)。Evaluation of the 'reconceptualising early mathematics learning' project。AARE 2012 Conference。Sydney:Australian Association for Research in Education。 | 5. | Papic, M.、Mulligan, J.(2005)。Preschoolers' mathematical patterning。The 28th annual conference of the Mathematics Education Research Group of Australasia。Sydney:MERGA。609-616。 | 6. | Tsamir, P.、Tirosh, D.、Barkai, R.、Levenson, E.、Tabach, M.(2015)。Which continuation is appropriate? Kindergarten children's knowledge of repeating patterns。39th Psychology of Mathematics Education conference。Hobart:PME。249-256。 | 7. | Vale, I.、Pimentel, T.、Cabrita, I.、Barbosa, A.、Fonseca, L.(2012)。Pattern problem solving tasks as a mean to foster creativity in mathematics。The 36th Conference of the International Group for the Psychology of Mathematics Education。Taipei:PME。171-178。 | 學位論文1. | 洪明賢(2003)。國中生察覺數形規律的現象初探(碩士論文)。國立臺灣師範大學。 延伸查詢 | 圖書1. | Sophian, C.(2007)。The origins of mathematical knowledge in childhood。New York, NY:Erlbaum。 | 2. | Clements, D. H.、Sarama, J.(2009)。Learning and teaching early math: The learning trajectories approach。New York, NY:Routledge。 | 3. | Copley, J. V.、何雪芳、陳彥文(2003)。幼兒數學教材教法。臺北:華騰文化。 延伸查詢 | 4. | Bodrova, E.、Leong, D. J.(2007)。Tool of the mind: The Vygotskian approach to early childhood education。Upper Saddle River, NJ:Prentice-Hall。 | 5. | Klein, A.、Starkey, P.、Wakeley, A.(2000)。Child math assessment: Preschool battery (CMA)。Berkeley, CA:University of California。 | 其他1. | National Council of Teachers of Mathematics(2000)。Principles and standards for school mathematics,Reston, Virginia:National Council of Teachers of Mathematics。,http://standards.nctm.org/document。 | 圖書論文1. | Seo, K.-H.、Ginsburg, H. P.(2004)。What is developmentally appropriate in early childhood mathematics education? Lessons from new research。Engaging young children in mathematics: Standards for early childhood mathematics education。Lawrence Erlbaum Associates。 | 2. | Owen, A.(1995)。In search of the unknown: A review of primary algebra。Children's mathematical thinking in the primary years: Perspectives on children's learning。London:Cassell。 | 3. | Greenes, C.(1999)。Ready to learn: Developing young children's mathematical powers。Mathematics in the early years。Reston, VA:National Council of Teachers of Mathematics。 | 4. | Klein, A.、Starkey, P.(2004)。Fostering preschool children's mathematical knowledge: Findings from the Berkeley Math Readiness Project。Engaging young children in mathematics: Standards for early childhood mathematics education。Mahwah, NJ:Erlbaum。 | 5. | Orton, A.、Orton, J.(1999)。Pattern and the approach to algebra。Pattern in the teaching and learning of mathematics。London:Continuum。 | 6. | Papic, M. M.(2013)。Improving numeracy outcomes for young Australian Indigenous children。Reconceptualizing early mathematics learning。New York, NY:Springer。 | 7. | Threlfall, J.(1999)。Repeating patterns in the early primary years。Pattern in the teaching and learning of mathematics。London:Continuum。 | 8. | Warren, E.、Cooper, T.(2008)。Patterns that support early algebraic thinking in the elementary school。Algebra and algebraic thinking in school mathematics: Seventieth Yearbook。Reston, VA:National Council of Teachers of Mathematics。 | |