Mathematical Reasoning: The Learner, the Teacher, and the Teaching and Learning

[1]  Number Sense in Elementary School Children: The Uses and Meanings Given to Numbers in Different Investigative Situations , 2018 .

[2]  D. Yang,et al.  A Study of the Performance of 5th Graders in Number Sense and its Relationship to Achievement in Mathematics , 2008 .

[3]  Heather C. Hill,et al.  Validating the Ecological Assumption: The Relationship of Measure Scores to Classroom Teaching and Student Learning , 2007 .

[4]  James G. Greeno,et al.  Number sense as situated knowing in a conceptual domain , 1990 .

[5]  J. Sarama,et al.  Early Childhood Mathematics Education Research: Learning Trajectories for Young Children , 2009 .

[6]  Anna Sfard,et al.  Introduction: Developing Mathematical Discourse--Some Insights from Communicational Research. , 2012 .

[7]  Cálculo mental com números racionais e desenvolvimento do sentido de número , 2019 .

[8]  Á. Gutiérrez,et al.  Handbook of research on the psychology of mathematics education: past, present and future , 2006 .

[9]  T. Nunes Teaching mathematics to deaf children , 2004 .

[10]  J. Flavell Metacognition and Cognitive Monitoring: A New Area of Cognitive-Developmental Inquiry. , 1979 .

[11]  O. Chapman Prospective elementary school teachers’ ways of making sense of mathematical problem posing , 2012, PNA. Revista de Investigación en Didáctica de la Matemática.

[12]  Jane Correa,et al.  Mathematical knowledge and language in deaf students: The relationship between the recitation of a numerical sequence and Brazilian Sign Language proficiency , 2020 .

[13]  Daniel B. Berch,et al.  Making Sense of Number Sense , 2005, Journal of learning disabilities.

[14]  Judit N. Moschkovich,et al.  Language and mathematics education : multiple perspectives and directions for research , 2010 .

[15]  Jürgen Baumert,et al.  The effect of content knowledge and pedagogical content knowledge on instructional quality and student achievement , 2013 .

[16]  Tânia Mara Sperb,et al.  A metacognição como estratégia reguladora da aprendizagem , 2006 .

[17]  Heinz Steinbring Elements of Epistemological Knowledge for Mathematics Teachers , 1998 .

[18]  J. Flavell Metacognitive aspects of problem solving , 1976 .

[19]  Lisa K Fazio,et al.  Relations of different types of numerical magnitude representations to each other and to mathematics achievement. , 2014, Journal of experimental child psychology.

[20]  Deborah Loewenberg Ball,et al.  Content Knowledge for Teaching , 2008 .

[21]  S. Krauss,et al.  Professional Competence of Teachers, Cognitively Activating Instruction, and the Development of Students’ Mathematical Literacy (COACTIV): A Research Program , 2013 .

[22]  L. Shulman Those Who Understand: Knowledge Growth in Teaching , 1986 .

[23]  Heather C. Hill,et al.  Effects of Teachers’ Mathematical Knowledge for Teaching on Student Achievement , 2005 .