Integrating supplementary application-based tutorials in the multivariable calculus course

References

• Engineering criteria . 2000 . “ Criteria for Accrediting Programs in Engineering in the United States ” . In The Accreditation Board of Engineering and Technology (ABET) , Third Edition 32 – 34 . Baltimore, MD
   Google Scholar
• Blum , W and Niss , M . 1991 . Applied mathematical problem solving, modeling, applications, and links to other subjects – state, trends and issues in mathematics instruction . Edu. Stud. Math , 22 : 37 – 68 .
   Google Scholar
• Kumar , S and Jalkio , J . 2001 . Teaching mathematics from an applications perspective . J. Eng. Edu , 24 : 275 – 279 .
   Google Scholar
• Wright , G , Wright , R and Lamb , C . 2002 . Developmental Mathematics education and supplemental instruction: pondering the potential . J. Develop. Edu , 26 : 30 – 35 .
   Google Scholar
• Croft , A . 2000 . A guide to the establishment of a successful mathematics learning support centre . Int. J. Math. Edu. Sci. and Techno , 31 : 431 – 446 .
   Google Scholar
• Druger , M . 2001 . Beyond the core . J. Coll. Sci. Teach , 31 : 274 – 275 .
   Google Scholar
• Yoshioka , T and Tsukamoto , T . 2001 . Method and effectiveness of an individualized exercise of fundamental mathematics . Com. Coll. J. Res. & Prac , 25 : 373 – 378 .
   Google Scholar
• Aroshas , S , Verner , I and Berman , A . 2007 . “ The Effect of integrating applications in the Technion calculus course ” . In Mathematical Modelling: Education, Engineering and Economics (ICTMA 12) , Section 7.4 Edited by: Haines , C , Galbraith , P , Blum , W and Khan , S . 433 – 442 . Chichester : Horwood Publishing .
   Google Scholar
• Schoenfeld , A . 1999 . Looking toward the 21st century: challenges of educational theory and practice . Edu. Res , 28 : 4 – 14 .
   Google Scholar
• Burkhardt , H and Schoenfeld , A . 2003 . Improving educational research: toward a more useful, more influential, and better funded enterprise . Edu. Res , 32 : 3 – 14 .
   Google Scholar
• Cobb , P , Confrey , J , Disessa , A , Lehrer , R and Shauble , L . 2003 . Design experiments in educational research . Edu. Res , 32 : 9 – 13 .
   Google Scholar
• Cronbach , L and Webb , N . 1975 . Between-class and within-class effects in a reported aptitude treatment interaction: reanalysis of a study by G. L. Anderson . J. Edu. Psy , 67 : 717 – 724 .
   Web of Science ®Google Scholar
• Snow , R . 1991 . Aptitude-treatment interaction as a framework for research on individual differences in psychotherapy . J. Con. Clini. Psych , 59 : 205 – 216 .
   PubMed Web of Science ®Google Scholar
• Cramer , K . 1989 . Cognitive restructuring ability, teacher guidance, and perceptual distracter tasks: An aptitude-treatment interaction study . J. Res. Math. Edu , 20 : 103 – 110 .
   Web of Science ®Google Scholar
• Snow , R and Lohman , D . 1984 . Toward a theory of cognitive aptitude for learning from instruction . J. Edu. Psy , 76 : 347 – 376 .
   Web of Science ®Google Scholar
• Sternberg , R . 1985 . Human intelligence: the model is the message . Science , 230 : 111 – 118 .
   Web of Science ®Google Scholar
• Gardner , H . 1983 . Frames of Mind: The Theory of Multiple Intelligences , NY : Basic Books .
   Google Scholar
• Wilson , B and Myers , K . 2000 . “ Situated cognition in theoretical and practical context ” . In Theoretical Foundations of Learning Environments , Edited by: Jonassen , D and Land , S . Mahwah, NJ : Erlbaum .
   Google Scholar
• Choi , J-I and Hannafin , M . 1995 . Situated cognition and learning environments: roles, structures, and implications for design . Edu. Techno. Res. Develop , 43 : 53 – 69 .
   Web of Science ®Google Scholar
• Gersten , R and Baker , S . 1998 . Real world use of scientific concepts: integrating situated cognition with explicit instruction . Excep. Child. , 65 : 23 – 35 .
   Web of Science ®Google Scholar
• Dapueto , C and Parrenti , L . 1999 . Contributions and obstacles of contexts in the development of mathematical knowledge . Edu. Stud. Math , 39 : 1 – 21 .
   Google Scholar
• Brown , A . 1992 . Design experiments: Theoretical and methodological challenges in creating complex interventions in classroom settings . J. Learn. Sci , 2 : 141 – 178 .
   Google Scholar
• Collins , A , Joseph , D and Bielaczyc , K . 2004 . ‘Design research: Theoretical and methodological issues . J. Learn. Sci , 13 : 15 – 42 .
   Web of Science ®Google Scholar
• Cobb , P and Gravemeijer , K . “ Experimenting to support and understand learning processes ” . In Handbook of Design Research Methods in Education , Edited by: Kelly , AE , Lesh , D and Baek , J . Mahwah, NJ : Lawrence Erlbaum Associates . in press
   Google Scholar
• Stewart , J . 2001 . Calculus: Concepts and Contexts , Brooks/Cole, CA : Pacific Grove .
   Google Scholar
• Deem , B . 2000 . Electronics Mathematics , 6th , NJ : Prentice Hall .
   Google Scholar
• Ewen , D , Gary , J and Trefzger , J . 2001 . Technical Mathematics with Calculus , NJ : Prentice Hall .
   Google Scholar
• Alsina , C . 1998 . “ Neither a microscope nor a telescope, just a mathscope ” . In Mathematical Modelling. Teaching and Assessment in a Technology-Rich World , Edited by: Galbraith , P . 3 – 10 . Chichester : Horwood .
   Google Scholar
• Galbraith , P . 2007 . “ Dreaming a ‘possible dream’: more windmills to conquer ” . In Mathematical Modelling: Education, Engineering and Economics (ICTMA 12) , Edited by: Haines , C , Galbraith , P , Blum , W and Khan , S . 44 – 62 . Chichester : Horwood Publishing . Section 2.1
   Google Scholar
• Crouch , R and Haines , C . 2004 . Mathematical modelling: transitions between the real world and the mathematical model . Int. J. Math. Edu. Sci. and Tech , 35 : 197 – 206 .
   Google Scholar
• Maaß , K . 2007 . “ Modelling in class: what do we want the students to learn? ” . In Mathematical Modelling: Education, Engineering and Economics (ICTMA 12) , Edited by: Haines , C , Galbraith , P , Blum , W and Khan , S . 63 – 78 . Chichester : Horwood Publishing . Section 2.1
   Google Scholar