Matches in SemOpenAlex for { <https://semopenalex.org/work/W1602845627> ?p ?o ?g. }
- W1602845627 abstract "The researcher characterized the pragmatic reasoning of students' mathematics learning using certain technology. A “Natural Mathematics computer Interface” designation, NMI, was introduced and predicated on its virtual use of things like compass-rule, or pencil-paper traditional mathematical inscriptions. The NMI provided capacities for manipulative geometric constructions and transformations, or symbolic interfacing to a Computer Algebra System. Two separate case studies facilitated empirically-based characterization and reflection concerning students' explorations, experimentations, and deductions in this NMI use setting. Over the course of a semester, one student studied Geometry proof (an elementary education major), and one Markov Chains (a lower division mathematics major). Four distinctive types of perceived mathematical embodiments were observed to be used by the students. These abstract embodiments, and related reasoning acts were described in the context of C. S. Peirce's Pragmatic Reasoning theory. NMI interactivity, and the means of a mathematical semantics level organization (via interface lay-out), were seen to be important contributors to the students' pragmatic reasoning. The abstract types of mathematical embodiments revealed were named: (i) Interface-procedural, (ii) Natural Mathematics Computational, (iii) Applications , and (iv) Generic. These mean, respectively, (i) interpreted merely as memorized interface procedures, (ii) resultant from interactive computation, interpreted as mathematical in a (sometimes) surface sense, as the student may not understand the underlying mathematics directing the computation, (iii) resultant from a student's interest in a real-world application used to analogously consider a mathematical model and its interpretation, and (iv) clearly abstracted and generalized, internal or mentalesque mathematical explanations or systematizations." @default.
- W1602845627 created "2016-06-24" @default.
- W1602845627 creator A5089461410 @default.
- W1602845627 date "2007-01-01" @default.
- W1602845627 modified "2023-09-23" @default.
- W1602845627 title "Describing students' pragmatic reasoning when using natural mathematics computer interfaces (nmi)" @default.
- W1602845627 cites W101937635 @default.
- W1602845627 cites W125159787 @default.
- W1602845627 cites W135460364 @default.
- W1602845627 cites W1480730624 @default.
- W1602845627 cites W1482984198 @default.
- W1602845627 cites W1485319711 @default.
- W1602845627 cites W1488214927 @default.
- W1602845627 cites W1510451077 @default.
- W1602845627 cites W1518870462 @default.
- W1602845627 cites W1519144258 @default.
- W1602845627 cites W1524927046 @default.
- W1602845627 cites W1526049240 @default.
- W1602845627 cites W1526730104 @default.
- W1602845627 cites W1527311855 @default.
- W1602845627 cites W1528356590 @default.
- W1602845627 cites W1532481595 @default.
- W1602845627 cites W1536446181 @default.
- W1602845627 cites W1537344770 @default.
- W1602845627 cites W1541356988 @default.
- W1602845627 cites W1542714163 @default.
- W1602845627 cites W1548691876 @default.
- W1602845627 cites W1552938621 @default.
- W1602845627 cites W1558123412 @default.
- W1602845627 cites W1560283571 @default.
- W1602845627 cites W1562183207 @default.
- W1602845627 cites W1563301972 @default.
- W1602845627 cites W1564200711 @default.
- W1602845627 cites W1578992551 @default.
- W1602845627 cites W1581109084 @default.
- W1602845627 cites W1586854670 @default.
- W1602845627 cites W1589482818 @default.
- W1602845627 cites W1592113093 @default.
- W1602845627 cites W1595653788 @default.
- W1602845627 cites W1601488840 @default.
- W1602845627 cites W1631767606 @default.
- W1602845627 cites W1639895595 @default.
- W1602845627 cites W1640063185 @default.
- W1602845627 cites W1647194413 @default.
- W1602845627 cites W1685438685 @default.
- W1602845627 cites W1696116471 @default.
- W1602845627 cites W1733481502 @default.
- W1602845627 cites W1751175273 @default.
- W1602845627 cites W1761828760 @default.
- W1602845627 cites W1778277763 @default.
- W1602845627 cites W1800348754 @default.
- W1602845627 cites W1815090327 @default.
- W1602845627 cites W1818435909 @default.
- W1602845627 cites W183456666 @default.
- W1602845627 cites W1878636809 @default.
- W1602845627 cites W1937914841 @default.
- W1602845627 cites W194314649 @default.
- W1602845627 cites W1949020749 @default.
- W1602845627 cites W1968060331 @default.
- W1602845627 cites W1970756038 @default.
- W1602845627 cites W1983065505 @default.
- W1602845627 cites W1983849191 @default.
- W1602845627 cites W1987820124 @default.
- W1602845627 cites W1989087919 @default.
- W1602845627 cites W1993535816 @default.
- W1602845627 cites W1994120331 @default.
- W1602845627 cites W2001098248 @default.
- W1602845627 cites W2002376963 @default.
- W1602845627 cites W2004950695 @default.
- W1602845627 cites W2010359569 @default.
- W1602845627 cites W2012905126 @default.
- W1602845627 cites W2013273031 @default.
- W1602845627 cites W2013895009 @default.
- W1602845627 cites W2032458483 @default.
- W1602845627 cites W2033858979 @default.
- W1602845627 cites W2035386280 @default.
- W1602845627 cites W2040110261 @default.
- W1602845627 cites W2046228833 @default.
- W1602845627 cites W2046282521 @default.
- W1602845627 cites W2056330418 @default.
- W1602845627 cites W2059838114 @default.
- W1602845627 cites W2070253818 @default.
- W1602845627 cites W2071892601 @default.
- W1602845627 cites W2073745193 @default.
- W1602845627 cites W2076005933 @default.
- W1602845627 cites W2080211134 @default.
- W1602845627 cites W2086427553 @default.
- W1602845627 cites W2088309326 @default.
- W1602845627 cites W2095332012 @default.
- W1602845627 cites W2096403800 @default.
- W1602845627 cites W2102951580 @default.
- W1602845627 cites W2106617794 @default.
- W1602845627 cites W2116199508 @default.
- W1602845627 cites W2118142789 @default.
- W1602845627 cites W2118963777 @default.
- W1602845627 cites W21192479 @default.
- W1602845627 cites W2135327179 @default.
- W1602845627 cites W2140755429 @default.
- W1602845627 cites W2154030277 @default.
- W1602845627 cites W2157756454 @default.