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Volumn 36, Issue 4, 2011, Pages 210-218

Matching Math Interventions to Students' Skill Deficits: A Preliminary Investigation of a Conceptual and Procedural Heuristic

Author keywords

Conceptual knowledge; Math; Math intervention

Indexed keywords


EID: 80054875804     PISSN: 15345084     EISSN: None     Source Type: Journal    
DOI: 10.1177/1534508411413255     Document Type: Review
Times cited : (14)

References (53)
  • 2
    • 0038890197 scopus 로고    scopus 로고
    • A synthesis of empirical research on teaching mathematics to low-achieving students
    • Baker, S., Gersten, R., & Lee, D. S. (2002). A synthesis of empirical research on teaching mathematics to low-achieving students. Elementary School Journal, 103, 51-73.
    • (2002) Elementary School Journal , vol.103 , pp. 51-73
    • Baker, S.1    Gersten, R.2    Lee, D.S.3
  • 4
    • 2942538562 scopus 로고    scopus 로고
    • Empirical analysis of drill ratio research: Refining the instructional level for drill tasks
    • Burns, M. K. (2004). Empirical analysis of drill ratio research: Refining the instructional level for drill tasks. Remedial and Special Education, 25, 167-175.
    • (2004) Remedial and Special Education , vol.25 , pp. 167-175
    • Burns, M.K.1
  • 5
    • 33750729600 scopus 로고    scopus 로고
    • Using incremental rehearsal to increase fluency of single-digit multiplication facts with children identified as learning disabled in mathematics computation
    • Burns, M. K. (2005). Using incremental rehearsal to practice multiplication facts with children identified as learning disabled in mathematics computation. Education and Treatment of Children, 28, 237-249. (Pubitemid 44699612)
    • (2005) Education and Treatment of Children , vol.28 , Issue.3 , pp. 237-249
    • Burns, M.K.1
  • 6
    • 69549111674 scopus 로고    scopus 로고
    • Comparison of the relationship between words retained and intelligence for three instructional strategies among students with low IQ
    • Burns, M. K., & Boice, C. H. (2009). Comparison of the relationship between words retained and intelligence for three instructional strategies among students with low IQ. School Psychology Review, 38, 284-292.
    • (2009) School Psychology Review , vol.38 , pp. 284-292
    • Burns, M.K.1    Boice, C.H.2
  • 7
    • 77951088185 scopus 로고    scopus 로고
    • Meta-analysis of acquisition and fluency math interventions with instructional and frustration level skills: Evidence for a skill by treatment interaction
    • Burns, M. K., Codding, R. S., Boice, C. H., & Lukito, G. (2010). Meta-analysis of acquisition and fluency math interventions with instructional and frustration level skills: Evidence for a skill by treatment interaction. School Psychology Review, 39, 69-83.
    • (2010) School Psychology Review , vol.39 , pp. 69-83
    • Burns, M.K.1    Codding, R.S.2    Boice, C.H.3    Lukito, G.4
  • 8
    • 17344365731 scopus 로고    scopus 로고
    • Preteaching unknown key words with incremental rehearsal to improve reading fluency and comprehension with children identified as reading disabled
    • DOI 10.1016/j.jsp.2004.04.003, PII S0022440504000500
    • Burns, M. K., Dean, V. J., & Foley, S. (2004). Preteaching unknown key words with incremental rehearsal to improve reading fluency and comprehension with children identified as reading disabled. Journal of School Psychology, 42, 303-314. (Pubitemid 40533698)
    • (2004) Journal of School Psychology , vol.42 , Issue.4 , pp. 303-314
    • Burns, M.K.1    Dean, V.J.2    Foley, S.3
  • 9
    • 80054863848 scopus 로고    scopus 로고
    • Assessment of academic skills in math within a problem solving model
    • In R. Ervin, G. Gimpel, E. Daly III, & K. Merrell (Eds.), New York, NY: Guilford
    • Burns, M. K., & Klingbeil, D. A. (2010). Assessment of academic skills in math within a problem solving model. In R. Ervin, G. Gimpel, E. Daly III, & K. Merrell (Eds.), Practical handbook of school psychology (pp. 86-98). New York, NY: Guilford.
    • (2010) Practical Handbook of School Psychology , pp. 86-98
    • Burns, M.K.1    Klingbeil, D.A.2
  • 10
    • 33750552932 scopus 로고    scopus 로고
    • Assessing the instructional level for mathematics: A comparison of methods
    • Burns, M. K., VanDerHeyden, A. M., & Jiban, C. (2006). Assessing the instructional level for mathematics: A comparison of methods. School Psychology Review, 35, 401-418. (Pubitemid 44672395)
    • (2006) School Psychology Review , vol.35 , Issue.3 , pp. 401-418
    • Burns, M.K.1    VanDerHeyden, A.M.2    Jiban, C.L.3
  • 11
    • 0141628630 scopus 로고    scopus 로고
    • Young children's understanding of addition concepts
    • Canobi, K. C., Reeve, R. A., & Pattison, P. E. (2002). Young children's understanding of addition concepts. Educational Psychology, 22, 513-532.
    • (2002) Educational Psychology , vol.22 , pp. 513-532
    • Canobi, K.C.1    Reeve, R.A.2    Pattison, P.E.3
  • 12
    • 0141641146 scopus 로고    scopus 로고
    • Patterns of knowledge in children's addition
    • DOI 10.1037/0012-1649.39.3.521
    • Canobi, K., Reeve, R., & Pattison, P. E. (2003). Patterns of knowledge in children's addition. Developmental Psychology, 39, 521-534. (Pubitemid 37189411)
    • (2003) Developmental Psychology , vol.39 , Issue.3 , pp. 521-534
    • Canobi, K.H.1    Reeve, R.A.2    Pattison, P.E.3
  • 13
    • 80051825849 scopus 로고    scopus 로고
    • Systems of instruction and assessment to improve mathematics achievement for students with disabilities: The potential and promise of RTI
    • In E. L. Grigorenko (Ed.), New York, NY: Springer
    • Chard, D. J., Ketterlin-Geller, L. R., & Jitendra, A. (2008). Systems of instruction and assessment to improve mathematics achievement for students with disabilities: The potential and promise of RTI. In E. L. Grigorenko (Ed.), Educating individuals with disabilities: IDEIA 2004 and beyond (pp. 227-248). New York, NY: Springer.
    • (2008) Educating Individuals with Disabilities: IDEIA 2004 and beyond , pp. 227-248
    • Chard, D.J.1    Ketterlin-Geller, L.R.2    Jitendra, A.3
  • 14
    • 21344432811 scopus 로고    scopus 로고
    • Even more precisely assessing children's understanding of the order-irrelevance principle
    • Cowan, R., Dowker, A., Christakis, A., & Bailey, S. (1996). Even more precisely assessing children's understanding of the order-irrelevance principle. Journal of Experimental Child Psychology, 62, 84-101.
    • (1996) Journal of Experimental Child Psychology , vol.62 , pp. 84-101
    • Cowan, R.1    Dowker, A.2    Christakis, A.3    Bailey, S.4
  • 16
    • 0001109141 scopus 로고
    • The two disciplines of scientific psychology
    • Cronbach, L. J. (1957). The two disciplines of scientific psychology. American Psychologist, 12, 671-684.
    • (1957) American Psychologist , vol.12 , pp. 671-684
    • Cronbach, L.J.1
  • 17
    • 0031457081 scopus 로고    scopus 로고
    • Arithmetic facts without meaning
    • Delazer, M., & Benke T. (1997). Arithmetic facts without meaning. Cortex, 33, 697-710. (Pubitemid 28014866)
    • (1997) Cortex , vol.33 , Issue.4 , pp. 697-710
    • Delazer, M.1    Benke, Th.2
  • 18
    • 24944458676 scopus 로고    scopus 로고
    • Enhancing kindergarteners' mathematical development: Effects of peer-assisted learning strategies
    • Fuchs, L. S., Fuchs, D., & Karns, K. (2001). Enhancing kindergarteners' mathematical development: Effects of peer-assisted learning strategies. Elementary School Journal, 101, 495-510.
    • (2001) Elementary School Journal , vol.101 , pp. 495-510
    • Fuchs, L.S.1    Fuchs, D.2    Karns, K.3
  • 19
    • 10844247070 scopus 로고    scopus 로고
    • Enhancing mathematical problem solving among third-grade students with schema-based instruction
    • DOI 10.1037/0022-0663.96.4.635
    • Fuchs, L. S., Fuchs, D., Prentice, K., Hamlett, C. L., Finelli, R., & Courey, S. J. (2004). Enhancing mathematical problem solving among third-grade students with schema-based instruction. Journal of Educational Psychology, 96, 635-647. (Pubitemid 39666165)
    • (2004) Journal of Educational Psychology , vol.96 , Issue.4 , pp. 635-647
    • Fuchs, L.S.1    Fuchs, D.2    Prentice, K.3    Hamlett, C.L.4    Finelli, R.5    Courey, S.J.6
  • 20
    • 34547294996 scopus 로고    scopus 로고
    • Cognitive mechanisms underlying achievement deficits in children with mathematical learning disability
    • Geary, D. C., Hoard, M. K., Byrd-Craven, J., Nugent, L., & Numtee, C. (2007). Cognitive mechanisms underlying achievement deficits in children with mathematical learning disability. Child Development, 78, 1343-1359.
    • (2007) Child Development , vol.78 , pp. 1343-1359
    • Geary, D.C.1    Hoard, M.K.2    Byrd-Craven, J.3    Nugent, L.4    Numtee, C.5
  • 21
    • 23244457148 scopus 로고    scopus 로고
    • Early identification and interventions for students with mathematics difficulties
    • Gersten, R., Jordan, N. C., & Flojo, J. R. (2005). Early identification and intervention for students with mathematical difficulties. Journal of Learning Disabilities, 38, 293-304. (Pubitemid 41095919)
    • (2005) Journal of Learning Disabilities , vol.38 , Issue.4 , pp. 293-304
    • Gersten, R.1    Jordan, N.C.2    Flojo, J.R.3
  • 22
    • 0035642373 scopus 로고    scopus 로고
    • Performance across different areas of mathematical cognition in children with learning difficulties
    • 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, 615-626.
    • (2001) Journal of Educational Psychology , vol.93 , pp. 615-626
    • Hanich, L.B.1    Jordan, N.C.2    Kaplan, D.3    Dick, J.4
  • 23
    • 0002016843 scopus 로고
    • Systematic instructional technology: An instructional hierarchy
    • In N. G. Haring, T. C. Lovitt, M. D. Eaton, & C. L. Hansen (Eds.), Columbus, OH: Merrill
    • Haring, N. G., & Eaton, M. D. (1978). Systematic instructional technology: An instructional hierarchy. In N. G. Haring, T. C. Lovitt, M. D. Eaton, & C. L. Hansen (Eds.), The fourth R: Research in the classroom (pp. 23-40). Columbus, OH: Merrill.
    • (1978) The Fourth R: Research in the Classroom , pp. 23-40
    • Haring, N.G.1    Eaton, M.D.2
  • 24
    • 85065691630 scopus 로고
    • Conceptual and procedural knowledge in mathematics: An introductory analysis
    • In J. Hiebert (Ed.), Hillsdale, NJ: Lawrence Erlbaum
    • Hiebert, J., & Lefevre, P. (1986). Conceptual and procedural knowledge in mathematics: An introductory analysis. In J. Hiebert (Ed.), Conceptual and procedural knowledge: The case of mathematics (pp. 1-27). Hillsdale, NJ: Lawrence Erlbaum.
    • (1986) Conceptual and Procedural Knowledge: The Case of Mathematics , pp. 1-27
    • Hiebert, J.1    Lefevre, P.2
  • 25
    • 0036992490 scopus 로고    scopus 로고
    • The generalizability of CBM survey-level mathematics assessments: Just how many samples do we need?
    • Hintze, J. M., Christ, T. J., & Keller, L. A. (2002). The generalizability of CBM survey-level mathematics assessments: Just how many samples do we need? School Psychology Review, 31, 514-528. (Pubitemid 36507757)
    • (2002) School Psychology Review , vol.31 , Issue.4 , pp. 514-528
    • Hintze, J.M.1    Christ, T.J.2    Keller, L.A.3
  • 26
    • 0036012259 scopus 로고    scopus 로고
    • An exploratory student of schema-based word problem-solving instruction for middle-school students with learning disabilities: An emphasis on conceptual and procedural understanding
    • Jitendra, A., DiPipi, C. M., & Perron-Jones, N. (2002). An exploratory student of schema-based word problem-solving instruction for middle-school students with learning disabilities: An emphasis on conceptual and procedural understanding. Journal of Special Education, 36, 23-38.
    • (2002) Journal of Special Education , vol.36 , pp. 23-38
    • Jitendra, A.1    Dipipi, C.M.2    Perron-Jones, N.3
  • 34
    • 11944265594 scopus 로고
    • Validity of psychological assessment: Validation of inferences from persons' responses and performances as scientific inquiry into score meaning
    • Messick, S. (1995). Validity of psychological assessment: Validation of inferences from persons' responses and performances as scientific inquiry into score meaning. American Psychologist, 50, 741-749.
    • (1995) American Psychologist , vol.50 , pp. 741-749
    • Messick, S.1
  • 35
    • 0003865799 scopus 로고    scopus 로고
    • National Council of Teachers of Mathematics, Reston, VA: Author
    • National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author.
    • (2000) Principles and Standards for School Mathematics
  • 38
    • 54549123495 scopus 로고    scopus 로고
    • Effectiveness and efficiency of flashcard drill instructional methods on urban first-graders' word recognition, acquisition, maintenance, and generalization
    • Nist, L., & Joseph L. M. (2008). Effectiveness and efficiency of flashcard drill instructional methods on urban first-graders' word recognition, acquisition, maintenance, and generalization. School Psychology Review, 37, 294-208.
    • (2008) School Psychology Review , vol.37 , pp. 294-208
    • Nist, L.1    Joseph, L.M.2
  • 39
    • 33747366244 scopus 로고    scopus 로고
    • Northwest Evaluation Association, Lake Oswego, OR: Author
    • Northwest Evaluation Association. (2004). Measures of academic progress. Lake Oswego, OR: Author.
    • (2004) Measures of Academic Progress
  • 40
    • 0009987867 scopus 로고    scopus 로고
    • Paradigm shift: The past is not the future
    • In A. Thomas & J. Grimes (Eds.), 4th ed., Bethesda, MD: National Association of School Psychologists
    • Reschly, D. J., & Ysseldyke, J. E. (2002). Paradigm shift: The past is not the future. In A. Thomas & J. Grimes (Eds.), Best practices in school psychology (4th ed., pp. 3-21). Bethesda, MD: National Association of School Psychologists.
    • (2002) Best Practices in School Psychology , pp. 3-21
    • Reschly, D.J.1    Ysseldyke, J.E.2
  • 42
    • 0002112343 scopus 로고    scopus 로고
    • The relation between conceptual and procedural knowledge in learning mathematics: A review
    • In C. Donlan (Ed.), Hove, UK: Psychology Press
    • Rittle-Johnson, B., & Siegler, R. S. (1998). The relation between conceptual and procedural knowledge in learning mathematics: A review. In C. Donlan (Ed.), The development of mathematical skill (pp. 75-110). Hove, UK: Psychology Press.
    • (1998) The Development of Mathematical Skill , pp. 75-110
    • Rittle-Johnson, B.1    Siegler, R.S.2
  • 43
    • 0035602865 scopus 로고    scopus 로고
    • Developing conceptual understanding and procedural skill in mathematics: An iterative process
    • Rittle-Johnson, B., Siegler, R. S., & Wagner, M. A. (2001). Developing conceptual understanding and procedural skill in mathematics: An iterative process. Journal of Educational Psychology, 93, 346-362.
    • (2001) Journal of Educational Psychology , vol.93 , pp. 346-362
    • Rittle-Johnson, B.1    Siegler, R.S.2    Wagner, M.A.3
  • 44
    • 84964179878 scopus 로고
    • Mathematics instruction for students with special needs
    • Rivera, D. M., & Bryant, B. R. (1992). Mathematics instruction for students with special needs. Intervention in School & Clinic, 28, 71-86.
    • (1992) Intervention in School & Clinic , vol.28 , pp. 71-86
    • Rivera, D.M.1    Bryant, B.R.2
  • 45
    • 62249202996 scopus 로고    scopus 로고
    • Core subjects and your career
    • Saffer, N. (1999). Core subjects and your career. Occupational Outlook Quarterly, 43(2), 26-40.
    • (1999) Occupational Outlook Quarterly , vol.43 , Issue.2 , pp. 26-40
    • Saffer, N.1
  • 46
    • 0031808818 scopus 로고    scopus 로고
    • Summarizing single-subject research. Issues and applications
    • DOI 10.1177/01454455980223001
    • Scruggs, T. E., & Mastropieri, M. A. (1998). Summarizing singlesubject research: Issues and applications. Behavior Modification, 22, 221-242. (Pubitemid 28311970)
    • (1998) Behavior Modification , vol.22 , Issue.3 , pp. 221-242
    • Scruggs, T.E.1    Mastropieri, M.A.2
  • 48
    • 29144433410 scopus 로고    scopus 로고
    • From formative assessment to assessment FOR learning: A path to success in standards-based schools
    • Stiggins, R. (2005). From formative assessment to assessment for learning: A path to success in standards-based schools. Phi Delta Kappan, 87, 324-328. (Pubitemid 41815541)
    • (2005) Phi Delta Kappan , vol.87 , Issue.4 , pp. 324-328
    • Stiggins, R.1
  • 49
    • 0039718295 scopus 로고
    • Unpublished teaching materials, School of Education, University of Chattanooga. Chattanooga, TN: Author
    • Tucker, J. A. (1989). Basic flashcard technique when vocabulary is the goal. Unpublished teaching materials, School of Education, University of Chattanooga. Chattanooga, TN: Author.
    • (1989) Basic Flashcard Technique When Vocabulary Is the Goal
    • Tucker, J.A.1
  • 51
    • 27744525056 scopus 로고    scopus 로고
    • Effects of mathematical word problem-solving instruction on middle school students with learning problems
    • Xin, Y. P., Jitendra, A. K., & Deatline-Buchman, A. (2005). Effects of mathematical word problem-solving instruction on middle school students with learning problems. Journal of Special Education, 39, 181-192. (Pubitemid 41616841)
    • (2005) Journal of Special Education , vol.39 , Issue.3 , pp. 181-192
    • Xin, Y.P.1    Jitendra, A.K.2    Deatline-Buchman, A.3
  • 53
    • 76049093121 scopus 로고    scopus 로고
    • Math performance of students with ADHD: Cognitive and behavioral contributors and interventions
    • In D.B. Berch & M. M. M. Mazzocco (Eds.), Baltimore, MD: Paul Brookes
    • Zentall, S. Z. (2007). Math performance of students with ADHD: Cognitive and behavioral contributors and interventions. In D.B. Berch & M. M. M. Mazzocco (Eds.), Why is math so hard for some children? The nature and origins of mathematical learning difficulties and disabilities (pp. 219-244). Baltimore, MD: Paul Brookes.
    • (2007) Why Is Math so Hard for Some Children? the Nature and Origins of Mathematical Learning Difficulties and Disabilities , pp. 219-244
    • Zentall, S.Z.1


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