Middle school students’ reading comprehension of mathematical texts and algebraic equations

References

• Adams , TL . 2003 . Reading mathematics: More than words can say . Read. Teach. , 56 ( 8 ) : 786 – 795 .
   Web of Science ®Google Scholar
• Gough , J . 2007 . Teaching square roots: Conceptual complexity in mathematics language . Australian Senior Math. J. , 21 ( 1 ) : 53 – 57 .
   Google Scholar
• Ministry of National Education, İlköğretim Matematik Dersi (1–5 sınıflar) Öğretim Programı Taslağı (Elementary School Mathematics Curriculum Draft (grades 1–5)). Ankara, Turkey, 2005
   Google Scholar
• National Council of Teachers of Mathematics, Principles and Standards for School Mathematics, NCTM, Reston, VA, 2000
   Google Scholar
• van Garderen , D . 2004 . Focus on inclusion reciprocal teaching as a comprehension strategy for understanding mathematical word problems . Read. Writing Q. , 20 : 225 – 229 .
   Google Scholar
• Adams , TL and Lowery , RM . 2007 . An analysis of children's strategies for reading mathematics . Read. Writing Q. , 23 : 161 – 177 .
   Google Scholar
• Baroody , A and Standifer , DJ . 1993 . “ Addition and subtraction in the primary grades ” . In Research Ideas for the Classroom: Early Childhood Mathematics , Edited by: Jensen , R.J. 72 – 102 . New York : Macmillan .
   Google Scholar
• Capraro , MM and Joffrion , H . 2006 . Algebraic equations: Can middle-school students meaningfully translate from words to mathematical symbols? . Read. Psychol. , 27 : 147 – 164 .
   Google Scholar
• Silver , EA . 2000 . Improving mathematics teaching and learning: How can Principles and Standards help? . Math. Teach. Middle School , 6 : 20 – 23 .
   Google Scholar
• Slavit , D . 1999 . The role of operation sense in transitions from arithmetic to algebraic thought . Educ. Stud. Math. , 37 ( 3 ) : 251 – 274 .
   Google Scholar
• Verschaffel , L and De Corte , E . 1996 . “ Number and arithmetic ” . In International Handbook of Mathematics Education , Edited by: Bishop , A. , Clements , K. , Keitel , C. , Kilpatrick , J. and Laborde , C. Vol. 1 , 99 – 137 . Dordrecht : Kluwer Academic Publishers .
   Google Scholar
• Ernest , P . 1999 . Forms of knowledge in mathematics and mathematics education: Philosophical and rhetorical perspectives . Educ. Stud. Math. , 38 ( 1–3 ) : 67 – 83 .
   Google Scholar
• Laborde , C . 1990 . “ Language and mathematics ” . In Mathematics and Cognition: A Research Synthesis by the International Group for the Psychology of Mathematics Education , Edited by: Nesher , P. and Kilpatrick , J. 53 – 69 . Cambridge : Cambridge University Press .
   Google Scholar
• Adler , J . 1995 . Dilemmas and a paradox–secondary mathematics teachers’ knowledge of their teaching in multilingual classrooms . Teach. Teach. Educ. , 11 ( 3 ) : 263 – 274 .
   Web of Science ®Google Scholar
• Burns , A . 1992 . Teacher beliefs and their influence on classroom practice . Prospect , 7 ( 3 ) : 57 – 65 .
   Google Scholar
• F. Lopez-Real, Effect of different syntactic structure of English and Chinese in simple algebraic problems, Paper presented at the People in Mathematics Proceedings of the 20th Annual Conference of the Mathematics Education Research Group of Australasia, Rotorua, New Zealand, 1997, pp. 317–323
   Google Scholar
• P. Swan, Mathematical Language, Available at http://www.otrnet.com.au/Paul_Swan/Articles/Mathematical_Language.pdf
   Google Scholar
• Warren , E . 2006 . Comparative mathematical language in the elementary school: A longitudinal study . Educ. Stud. Math. , 62 : 169 – 189 .
   Google Scholar
• Conroy , JS . 1981 . Learning language and mathematical structure in the infants school . Res. Math. Educ. Australia , 2 : 203 – 212 .
   Google Scholar
• Clarke , DJ . 1993 . Probing the structure of mathematical writing . Educ. Stud. Math. , 25 ( 3 ) : 235 – 250 .
   Google Scholar
• Kane , RB . 1967 . The readability of mathematical English . J. Res. Sci. Teach. , 5 : 296 – 308 .
   Google Scholar
• H. Shuard and A. Rothery (eds.), Children Reading Mathematics. John Murray, London, 1984
   Google Scholar
• Noonan , J . 1990 . Readability problems presented by mathematics text . Early Child Dev. Care , 54 : 57 – 81 .
   Google Scholar
• Setati , M . 2005 . “ Mathematics education and language ” . In Researching Mathematics Education in South Africa , Edited by: Vithal , R. , Adler , J. and Keitel , C. 73 – 109 . Cape Town : HSRC Press .
   Google Scholar
• Akgün , L and Özdemir , ME . 2006 . Students’ understanding of the variable as general number and unknown: A case study . Teach. Math. , IX ( 1 ) : 45 – 51 .
   Google Scholar
• MacGregor , M and Stacey , K . 1998 . Cognitive models underlying algebraic and nonalgebraic solutions to unequal partition problems . Math. Educ. Res. J. , 10 ( 2 ) : 46 – 60 .
   Google Scholar
• Allington , R . 2001 . What really matters for struggling readers: Designing research-based programs , New York : Longman .
   Google Scholar
• Combs , M . 2002 . Readers and writers in primary grades: A balanced and integrated approach , Upper Saddle River , NJ : Merrill Prentice Hall .
   Google Scholar
• Caldwell , JS . 2002 . Reading assessment: A primer for teachers and tutors , New York : Guilford Press .
   Google Scholar
• Ekwall , EE and Shanker , JL . 1993 . Locating and Correcting Reading Difficulties , New York : Merrill .
   Google Scholar
• Harste , JC , Woodward , VA and Burke , CL . 1984 . Language Stories and Literacy Lessons , Portsmouth , NH : Heinemann .
   Google Scholar
• W.B. Rudolph and R.B. Kane, Estimates of relative sequential constraint for selected passages from mathematics books and the relationship of these measures to reading compression, Paper Presented at the Conference of the American Educational Research Association, Minneapolis, MN, March 2–6, 1970
   Google Scholar
• Kane , RB . 1970 . Readability of mathematics textbooks revisited . Math. Teach. , 63 : 579 – 581 .
   Google Scholar
• Durkin , K . 1991 . Primary school children's interpretations of lexical ambiguity in mathematical descriptions . J. Res. Read. , 14 : 46 – 55 .
   Google Scholar
• Mather , JRC and Chiodo , JJ . 1994 . A mathematical problem: How do we teach mathematics to LEP elementary students? . J. Educ. Issues Lang. Minority Stud. , 13 : 1 – 12 .
   Google Scholar
• Snow , CE , Burns , MS and Griffin , P . 1998 . Preventing reading difficulties in young children , Washington , DC : National Academy Press .
   Google Scholar
• Vacca , RT and Vacca , JA . 2002 . Content-Area Reading: Literacy and Learning Across the Curriculum, , 7th , Boston : Allyn & Bacon .
   Google Scholar
• Carter , TA and Dean , EO . 2006 . Mathematics intervention for grades 5–11: Teaching mathematics, reading, or both? . Read. Psychol. , 27 : 127 – 146 .
   Google Scholar
• Pearson , P . 1996 . “ Reclaiming the center, Every child's right to read ” . In The First R , Edited by: Graves , M. , van den Broek , P and Taylor , B. 259 – 274 . New York : Teachers College Press .
   Google Scholar
• Anderson , RC and Pearson , PD . 1984 . “ A schema-theoretic view of basic processes in reading ” . In Handbook of Reading Research , Edited by: Pearson , P.D. 255 – 292 . New York : Longman .
   Google Scholar
• M.L. Barton and C. Heidema, Teaching reading in mathematics: A supplement to teaching reading in the content areas teacher's manual. Mid-continent Research for Education and Learning, Aurora, CO, ERIC Document Reproduction Service ED 469 111, 2000
   Google Scholar
• McKenzie , W . 1990 . Meaning: The common element in both reading and mathematics . Ontario Math. Gazette , 28 ( 3 ) : 8 – 13 .
   Google Scholar
• Aiken , LR . 1972 . Language factors in learning mathematics . Rev. Educ. Res. , 42 : 359 – 385 .
   Web of Science ®Google Scholar
• Lewis , C , Hitch , GJ and Walker , P . 1994 . The prevalence of specific arithmetic difficulties and specific reading difficulties in 9- to 10-year-old boys and girls . J. Child Psychol. , 35 : 283 – 292 .
   Web of Science ®Google Scholar
• Jordan , NC , Hanich , LB and Kaplan , D . 2003 . Arithmetic fact mastery in young children: A longitudinal investigation . J. Exp. Child Psychol. , 85 : 103 – 119 .
   PubMed Web of Science ®Google Scholar
• Fuchs , LS and Fuchs , D . 2002 . Mathematical problem-solving profiles of students with mathematics disabilities with and without comorbid reading disabilities . J. Learn. Disabil. , 35 : 563 – 573 .
   PubMed Web of Science ®Google Scholar
• Clement , J , Lochhead , J and Monk , GS . 1981 . Translation difficulties in learning mathematics . Am. Math. Monthly , 88 : 286 – 289 .
   Web of Science ®Google Scholar
• MacGregor , M and Stacey , K . 1993 . Cognitive models underlying students’ formulation of simple linear equations . J. Res. Math. Educ. , 24 : 217 – 232 .
   Web of Science ®Google Scholar
• M. Niaz, Translation of algebraic equations and its relation to formal operational reasoning, Paper Presented at the 62 Annual Meeting of the National Association for Research in Science Teaching, San Fransisco, 1989
   Google Scholar
• Wollman , W . 1983 . Determining the sources of error in a translation from sentence to equation . J. Res. Math. Educ. , 14 : 169 – 181 .
   Google Scholar
• Polya , G . 1988 . How To Solve It , New Jersey , NJ : Princeton University Press .
   Google Scholar
• Muth , KD . 1991 . The effects of cuing on middle school students' performance on word problems containing extraneous information . J. Educ. Psychol. , 83 : 173 – 174 .
   Web of Science ®Google Scholar
• Muth , KD . 1992 . Extraneous information and extra steps in arithmetic word problems . Contemp. Educ. Psychol. , 17 : 278 – 285 .
   Web of Science ®Google Scholar
• Arcavi , A . 1994 . Symbol sense: Informal sense-making in formal mathematics . Learn. Math. , 14 ( 3 ) : 24 – 35 .
   Google Scholar
• Hiebert , J . 1988 . A theory of developing competence with written mathematical symbols . Educ. Stud. Math. , 19 : 333
   Google Scholar