The Process of Constructing Speed-time Function from Distance-Time Function y=2χ by Students Using Different Reasoning Methods for Continuous Change
This study investigates the way students perceive and express change in an exponential situation with different reasoning methods for continuous change - for example, students, who use chunky reasoning, construct a new function representing the change of exponential distance-time function. Using cas...
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| Format: | Article |
| Language: | English |
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Korea Society of Educational Studies in Mathematics
2021-05-01
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| Series: | Journal of Educational Research in Mathematics |
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| Online Access: | http://journaleditor.inforang.com/journal/view.html?doi=10.29275/jerm.2021.31.2.153 |
| _version_ | 1818240633776635904 |
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| author | Donggun Lee |
| author_facet | Donggun Lee |
| author_sort | Donggun Lee |
| collection | DOAJ |
| description | This study investigates the way students perceive and express change in an exponential situation with different reasoning methods for continuous change - for example, students, who use chunky reasoning, construct a new function representing the change of exponential distance-time function. Using case study approach, the study presents the results of teaching experiments conducted on three high school freshmen students. It may be difficult to generalize the results since the sample size was limited; however, the findings have the potential to inform researchers in mathematics education about students’ conceptual knowledge of continuous change. The information about the process of constructing the speed-time function from the distance-time function based on the students' understanding of continuous change may also be helpful in interpreting student thinking in differential concept. |
| first_indexed | 2024-12-12T13:16:33Z |
| format | Article |
| id | doaj.art-324d25fe46cf4741ab14f115f08610d6 |
| institution | Directory Open Access Journal |
| issn | 2288-7733 |
| language | English |
| last_indexed | 2024-12-12T13:16:33Z |
| publishDate | 2021-05-01 |
| publisher | Korea Society of Educational Studies in Mathematics |
| record_format | Article |
| series | Journal of Educational Research in Mathematics |
| spelling | doaj.art-324d25fe46cf4741ab14f115f08610d62022-12-22T00:23:24ZengKorea Society of Educational Studies in MathematicsJournal of Educational Research in Mathematics2288-77332021-05-0131215317710.29275/jerm.2021.31.2.153jerm.2021.31.2.153The Process of Constructing Speed-time Function from Distance-Time Function y=2χ by Students Using Different Reasoning Methods for Continuous ChangeDonggun Lee0Teacher, Jamil Highschool, Seoul, South KoreaThis study investigates the way students perceive and express change in an exponential situation with different reasoning methods for continuous change - for example, students, who use chunky reasoning, construct a new function representing the change of exponential distance-time function. Using case study approach, the study presents the results of teaching experiments conducted on three high school freshmen students. It may be difficult to generalize the results since the sample size was limited; however, the findings have the potential to inform researchers in mathematics education about students’ conceptual knowledge of continuous change. The information about the process of constructing the speed-time function from the distance-time function based on the students' understanding of continuous change may also be helpful in interpreting student thinking in differential concept.http://journaleditor.inforang.com/journal/view.html?doi=10.29275/jerm.2021.31.2.153exponential functionquadratic functiondistance-time functionspeed-time functionchunky reasoningsmooth reasoning |
| spellingShingle | Donggun Lee The Process of Constructing Speed-time Function from Distance-Time Function y=2χ by Students Using Different Reasoning Methods for Continuous Change Journal of Educational Research in Mathematics exponential function quadratic function distance-time function speed-time function chunky reasoning smooth reasoning |
| title | The Process of Constructing Speed-time Function from Distance-Time Function y=2χ by Students Using Different Reasoning Methods for Continuous Change |
| title_full | The Process of Constructing Speed-time Function from Distance-Time Function y=2χ by Students Using Different Reasoning Methods for Continuous Change |
| title_fullStr | The Process of Constructing Speed-time Function from Distance-Time Function y=2χ by Students Using Different Reasoning Methods for Continuous Change |
| title_full_unstemmed | The Process of Constructing Speed-time Function from Distance-Time Function y=2χ by Students Using Different Reasoning Methods for Continuous Change |
| title_short | The Process of Constructing Speed-time Function from Distance-Time Function y=2χ by Students Using Different Reasoning Methods for Continuous Change |
| title_sort | process of constructing speed time function from distance time function y 2χ by students using different reasoning methods for continuous change |
| topic | exponential function quadratic function distance-time function speed-time function chunky reasoning smooth reasoning |
| url | http://journaleditor.inforang.com/journal/view.html?doi=10.29275/jerm.2021.31.2.153 |
| work_keys_str_mv | AT donggunlee theprocessofconstructingspeedtimefunctionfromdistancetimefunctiony2chbystudentsusingdifferentreasoningmethodsforcontinuouschange AT donggunlee processofconstructingspeedtimefunctionfromdistancetimefunctiony2chbystudentsusingdifferentreasoningmethodsforcontinuouschange |