Mathematica Eterna
Open Access

A Special Design of Mathematics Education and Student Understanding of Symbolic Numerical Magnitude

Sophia Emma^{* *}Correspondence: Sophia Emma, Department of Mathematics, Gazi University, Turkey, Email:

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Introduction

In our study we have a tendency to examined changes in student justifications over time with AN intervention that role player from the most effective tutorial practices within the fields of education and arithmetic education. These justifications were provided by teacher-identified troubled second-grade students whereas participating in symbolic numerical magnitude comparisons. Following screening, we have a tendency to conduct eight tutorial sessions to market abstract understanding of elementary concepts for numerical magnitude. Exploitation knowledge collected from seventy one tutorial tasks, we have a tendency to analyze the categories of justifications students provided and the way these justifications modified over time. Before the intervention, most student justifications concerned few elements of a sound mathematical justification. Over the course of the study, students provided a lot of valid and generalizable mathematical justifications [1].

Students’ difficulties with contrapositive reasoning square measure well documented. Lack of intuition concerning contrapositive reasoning and lack of a meta-argument for the logical equivalence between a conditional claim and its contrapositive might contribute to students’ struggles. This case study investigated the effectiveness of the eliminating counterexamples intervention in up students’ ability to construct, critique, and validate contrapositive arguments in a very U.S. eighth-grade arithmetic schoolroom. The intervention concerned constructing descriptions of all potential counterexamples to a conditional claim and its contrapositive, examination the 2 descriptions, noting that the descriptions square measure a similar ejection the order of phrases, and finding a falsification to indicate the claim is fake or viably contestation that no falsification exists [2].

The purpose of this study was to report on findings relating to AN whole number module intervention. we have a tendency to provided the results of the integers module lessons intervention on the arithmetic performance of seventh grade students with arithmetic difficulties. We have a tendency to provide AN analysis of the arithmetic interventionists’ and their students’ views concerning the whole number module to assist make a case for the findings. a complete of 908 students participated within the study and were irregular to at least one of 2 conditions. The analysis style was classrandomized with categories allotted to the treatment or control [3].

The purpose of this study was to characterize the expansion of 1 student’s mathematical understanding and use of various representations a couple of geometric transformation, dilation. We have a tendency to accomplish this purpose by exploitation the Pirie-Kieren model collectively with the philosophical doctrine illustration Theory as a lens. Elif, a 10th- grade student, was purposefully chosen because the case for this study due to the expansion of mathematical understanding concerning dilation she exhibited over time. Elif participated in task-based interviews before, throughout and when collaborating in a very form of transformation lessons wherever she used multiple representations, together with physical and virtual manipulative. The results unconcealed that Elif was able to progress in her mathematical understanding from informal levels to the formal levels within the Pirie-Kieren model as she performed treatments and conversions, movements involving completely different registers of representations. The results additionally showed various samples of Elif’s mathematical understanding supported folding back activities, complementary aspects of acting and expressing, and interventions [4].

 

References

1. Garderen D, Lannin JK, Kamuru J. Intertwining special education and mathematics education perspectives to design an intervention to improve student understanding of symbolic numerical magnitude. The J Mathe Behav. 2020; 59:100782.
2. Yopp DA. Eliminating counterexamples: An intervention for improving adolescents contrapositive reasoning. The J Mathe Behav. 2020;59:100794.
3. Bryanta DP, Bryanta BR, Dougherty B, Roberts G, Pfannenstiel KH, Lee J. Mathematics performance on integers of students with mathematics difficulties. The J Mathe Behav. 2020; 58:100776.
4. Gulkilik H, Moyer-Packenham PS, HuseyinUgurlu H, Yuruk N. Characterizing the growth of one student’s mathematical understanding in a multi-representational learning environment. The J Mathe Behav. 2020;58: 100756.