Connecting Research to Teaching: Visual and Analytic Thinking in Calculus

Hacıömeroğlu, Erhan Selçuk; Aspinwall, Leslie; Presmeg, Norma

doi:10.5951/mt.103.2.0140

Cited by 7 publications

(3 citation statements)

References 2 publications

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“…Though a graphic representation was used to present the calculus problems, students translated the problems into algebraic representation based on their preferences for solution method, according to the researchers. Similar to the findings of Haciomeroglu et al, (2009), this study also concluded that both visual and verbal solution methods are essential components for successful mathematical performance. They emphasized the need in both modes of thinking-verbal and visual-to deepen students' understanding.…”

Section: Preferences and Mathematical Performancesupporting

confidence: 82%

“…However, students got incorrect answer if they tend to utilize one solution methods more over the other solution methods or vice versa. Haciomeroglu, Aspinwall, and Presmeg (2009) conducted an empirical case study for calculus students to explore the relationship between preference for solution methods and calculus performance. Rather than using the verbal representation of MPI, the researchers used graphic representations to present the derivative problems.…”

Section: Preferences and Mathematical Performancementioning

confidence: 99%

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Preference for Solution Methods and Mathematical Performance: A Critical Review

Mainali

2021

INT ELECT J MATH ED

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Preferences for solution methods have an important implication teaching and learning mathematics and students' mathematical performances. In the domain of learning mathematics, there are two modes of processing mathematical information: verbal logical and visual-pictorial. Learners who process mathematical information using verbal logical and visual -pictorial modes are respectively called verbalizers and visualizers. Based on the verbalizer-visualizer continuum, students can be placed in a continuum with regard to their preference for solution methods and correlation between the two modes of thought. They belong to one of three categories: (a) visualizers (geometric), who have a preference for the use of visual solution methods, which involve graphic representation (i.e., figures, diagrams, and pictures); (b) verbalizers (analytic), who have a preference for the use of nonvisual solution methods, which involve algebraic, numeric, and verbal representation; and (c) harmonics (mixer), who use visual and verbal methods equally. Several research studies have been conducted to examine the relationship between preferences for solution methods and mathematical performances; however, no conclusive findings were reported. Regardless of inconclusive findings, it is important for students to develop preferences for both solution methods: visual and nonvisual. The mathematical instructional strategies need to equally incorporate preferences for both solution methods, utilizing different modes of mathematical representations, in order to enhance learning mathematics.

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Section: Preferences and Mathematical Performancesupporting

confidence: 82%

Section: Preferences and Mathematical Performancementioning

confidence: 99%

Preference for Solution Methods and Mathematical Performance: A Critical Review

Mainali

2021

INT ELECT J MATH ED

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“…Objek yang abstrak inilah yang menjadi penyebab matematika serasa pelajaran yang susah untuk di pelajari. Apabila pembelajarannya kurang atau tanpa menggunakan media alat bantu pengajaran, maka pembelajarannya akan menjadi abstrak (Haciomeroglu et al, 2009). Maka dari itu pentingnya strategi dalam pembelajaran, salah satunya yaitu menggunakan model pembelajaran yang tepat dengan bantuan media alat peraga.…”

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Efektivitas Model Pembelajaran Talking Stick Berbantuan Media Papan Statistika pada Materi Statistika

Megawati,

Husniati,

Sirajuddin

2024

JRHotsPM

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Masalah utama dalam penelitian ini yaitu apakah penerapan model pembelajaran Talking Stick berbantuan media papan statistika pada materi statistika efektif diterapkan pada sekolah dasar SDN Bawakaraeng 1 Makassar. Penelitian ini bertujuan untuk mengetahui efektivitas penerapan model pembelajaran Talking Stick berbantuan media papan statistika pada materi statistika di sekolah dasar SDN Bawakaraeng 1 Makassar. Jenis penelitian ini adalah penelitian pre-ekperimental dalam bentuk one-group pre-test post-test design. Penelitian ini dilaksanakan selama 4 kali pertemuan. Sampel pada penelitian ini adalah peserta didik kelas VI A SDN Bawakaraeng 1 Makassar sebanyak 23 orang. Hasil penelitian menunjukan bahwa : 1) skor rata-rata tes hasil belajar matematika peserta didik sebelum diterapkan model pembelajaran talking stik berbantuan media papan statistika adalah 28,91% dengan kategori rendah,selanjutnya setelah diterapkan model pembelajaran talking stick berbantuan media papan statistika maka hasil post-test mencapai nilai rata-rata sebesar 82,91% dengan kategori tinggi. Berdasarkan uji hipotesis menggunakan uji-t One Sample t-test diperoleh Thitung = 2,621, df = 22 dan pada tabel distribusi diperoleh Ttabel = 1,717. Berdasarkan hasil yang diperoleh karena Thitung > Ttabel maka H0 ditolak dan H1 diterima. 2) Hasil analisis N-Gain ternormalisasi menunjukkan bahwa nilainya berada pada rentang 0,87 termasuk kategori tinggi. 3) Rata-rata persentase frekuensi aktivitas peserta didik telah mencapai kriteria efektif yakni 81,93%. 4) Angket siswa menunjukkan bahwa respon peserta didik terhadap model pembelajaran talking stick positif yakni 90,87%. Hasil analisis inferensial pada pengujian hipotesis bahwa indikator hasil belajar menerima H1 pada α = 0,05. Dari hasil tersebut dapat disimpulkan bahwa penerapan model pembelajaran talking stick berbantuan media papan statistik efektif digunakan pada materi statistika di sekolah dasar SDN Bawakaraeng 1 Makassar.

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Model-Centered Learning

Bu¹,

Schoen²

2011

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Connecting Research to Teaching: Visual and Analytic Thinking in Calculus

Cited by 7 publications

References 2 publications

Preference for Solution Methods and Mathematical Performance: A Critical Review

Preference for Solution Methods and Mathematical Performance: A Critical Review

Efektivitas Model Pembelajaran Talking Stick Berbantuan Media Papan Statistika pada Materi Statistika

Model-Centered Learning

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