Types of Mathematics-Language Reading Interactions that Unnecessarily Hinder Algebra Learning and Assessment

References

• Abedi , J. and Lord , C. 2001 . The language factor in mathematics tests . Applied Measurement in Education , 14 : 219 – 234 . [CSA]
   Web of Science ®Google Scholar
• Bergeron , J. C. and Hersovics , N. 1990 . “ Psychological aspects of learning early arithmetic ” . In Mathematics and cognition , Edited by: Nesher , P. and Kilpatrick , J. 31 – 52 . Cambridge, UK : Cambridge University Press .
   Google Scholar
• Bye , M. P. 1975 . Reading in math and cognitive development , ERIC Document Reproduction Service No. ED 124 926 Unpublished manuscript
   Google Scholar
• Cazden , C. B. 1986 . “ Classroom discourse ” . In Handbook of research on teaching, , 3rd ed. , Edited by: Wittrock , M. C. 432 – 463 . New York : Macmillan .
   Google Scholar
• Clement , J. 1982a . Algebra word problems: Thought processes underlying a common misconception . Journal for Research in Mathematics Education , 13 : 16 – 30 . [CSA] [CROSSREF]
   Google Scholar
• Cuevas , G. 1984 . Mathematics learning in English as a second language . Journal for Research in Mathematics Education. , 15 : 134 – 144 . [CSA] [CROSSREF]
   Google Scholar
• Cuevas , G. and Yeatts , K. 2001 . Navigating through algebra , Reston, VA : NCTM .
   Google Scholar
• Devlin , K. J. 2000 . The math gene: How mathematical thinking evolved and why numbers are like gossip , London : Basic Books .
   Google Scholar
• Driscoll , M. 1999 . Fostering algebraic thinking: A guide for teachers grades , 6 – 10 . Portsmouth, NH : Heinemann .
   Google Scholar
• Durkin , K. and Shire , B. 1991 . “ Lexical ambiguity in mathematical contexts ” . In Language in mathematical education , Edited by: Durkin , K. and Shire , B. 71 – 84 . London : Open University Press .
   Google Scholar
• Ferrini-Mundy , J. , Lappan , G. and Phillips , E. 1997 . Experiences with patterning . Teaching Children Mathematics. , 3 : 282 – 288 . [CSA]
   Google Scholar
• Fillmore , L. W. The development of second language literacy skills . Paper presented to the National Commission on Excellence in Education . Houston, TX.
   Google Scholar
• Fillmore , L. W. and Valadez , C. M. 1986 . “ Teaching bilingual learners ” . In Handbook of research on teaching, , 3rd ed. , Edited by: Wittrock , M. C. 648 – 668 . New York : Macmillan .
   Google Scholar
• Garrison , L. and Mora , J. K. 1999 . “ Adapting mathematics instruction for English-language learners: The language-concept connection ” . In Changing the faces of mathematics: Perspectives on Latinos , Edited by: Secada , W. 35 – 47 . Reston, VA : NCTM .
   Google Scholar
• Goldin , G. A. 2000 . “ A scientific perspective on structured, task-based interviews in mathematics education research ” . In Research design in mathematics and science education , Edited by: Kelly , A. and Lesh , R. 517 – 545 . Mahwah, NJ : Erlbaum .
   Google Scholar
• Gullatt , D. E. 1986 . Help your students read mathematics . Arithmetic Teacher , 33 ( 9 ) : 20 – 21 . [CSA]
   Google Scholar
• Halliday , M. A. K. Some aspects of sociolinguistics . Interactions between linguistics and mathematical education: Final report of the symposium by UNESCO, CEDO and ICMI . September 1–11 1974 , Nairobi, Kenya. Edited by: Jacobsen , E. pp. 64 – 73 . Paris : UNESCO . UNESCO Report No. ED-74/CONF.808
   Google Scholar
• Harris , M. J. and VanDavender , E. M. 1990 . Overcoming the confusion of reading mathematics . Focus on Learning Problems in Mathematics , 12 ( 1 ) : 19 – 27 . [CSA]
   Google Scholar
• Herscovics , N. 1996 . “ The construction of conceptual schemes in mathematics ” . In Theories of Mathematical Learning , Edited by: Steffe , L. P. and Nesher , P. 351 – 380 . Mahwah, NJ : Erlbaum .
   Google Scholar
• Johnson , R. B. and Onwuegbuzie , A. J. 2004 . Mixed methods research: A research paradigm whose time has come . Educational Researcher , 33 ( 7 ) : 14 – 26 . [CSA]
   Google Scholar
• Khisty , L. L. 1995 . “ Making inequality: Issues of language and meanings in mathematics teaching with Hispanic students ” . In New directions for equity in mathematics education , Edited by: Secada , W. , Fennema , E. and Adajian , L. 279 – 297 . Cambridge, UK : Cambridge University Press .
   Google Scholar
• Laborde , C. , Conroy , J. , De Corte , E. , Lee , L. and Pimm , D. 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 Kilkpatrick , J. 53 – 69 . Cambridge, UK : Cambridge University Press .
   Google Scholar
• Lesh , R. , Hoover , M. , Hole , B. , Kelly , A. and Post , T. 2000 . “ Principles for developing thought-revealing activities for students and teachers ” . In Research design in mathematics and science education , Edited by: Kelly , A. and Lesh , R. 591 – 645 . Mahwah, New Jersey : Lawrence Erlbaum Associates .
   Google Scholar
• MacGregor , M. and Stacey , K. 1993 . Cognitive models underlying students' formulation of simple linear equations . Journal for Research in Mathematics Education , 24 : 217 – 232 . [CSA] [CROSSREF]
   Web of Science ®Google Scholar
• Miller , B. D. and Smith , C. A. 1994 . Assessment of prerequisite mathematics vocabulary terms for intermediate and college algebra . Focus on Learning Problems in Mathematics , 16 ( 2 ) : 39 – 50 . [CSA]
   Google Scholar
• Morris , C. W. 1938 . “ Foundations of the theory of signs ” . In International encyclopedia of unified science , Vol. 1 , 1 – 59 . Chicago : University of Chicago Press . No. 2
   Google Scholar
• Moschkovich , J. N. 2000 . “ Learning mathematics in two languages: Moving from obstacles to resources ” . In Changing the faces of mathematics: Perspectives on multiculturalism and gender equity , Edited by: Secada , W. 85 – 93 . Reston, VA : NCTM .
   Google Scholar
• 2001 . No Child Left Behind Act. Pub. L. No. 107–110, 115 Stat. 1425
   Google Scholar
• Pilar , R. 1999 . “ Spanish-English language issues in the mathematics classroom ” . In Changing the faces of mathematics: Perspectives on Latinos , Edited by: Secada , W. 23 – 33 . Reston, VA : NCTM .
   Google Scholar
• Pimm , D. 1987 . Speaking mathematically: Communication in mathematics classrooms , London and New York : Routledge & Kegan Paul .
   Google Scholar
• Secada , W. Evaluating the Mathematics Education of Limited English Proficient Students in a Time of Educational Change . Focus on Evaluation and Measurement, Proceedings of the Second National Research Symposium on Limited English Proficient Student Issues . Volumes 1 and 2 , pp. 214 – 257 . Washington, DC : U.S. Departement of Education .
   Google Scholar
• Silver , E. A. and Smith , M. S. 1996 . “ Building discourse communities in mathematics classrooms: A worthwhile but challenging journey ” . In 1996 Yearbook—Communication in mathematics, K–12 and beyond , Edited by: Elliott , P. and Kenney , M. 20 – 28 . Reston, VA : NCTM .
   Google Scholar
• Smith , B. D. , Miller , C. A. and Grossman , F. J. 1992 . Comprehending mathematical concepts: Relating reading and writing to mathematical performance . Journal of College Reading and Learning , 25 ( 1 ) : 51 – 64 . [CSA]
   Google Scholar
• Spanos , G. , Rhodes , N. , Dale , T. and Crandall , J. 1988 . “ Linguistic Features of Mathematical Problem Solving ” . In Linguistic and Cultural Influences on Learning Mathematics , Edited by: Cocking , R. and Mestre , J. 221 – 240 . Hillsdale, NJ : Erlbaum .
   Google Scholar