Activities for Students: Teaching Probability and Statistics Using Game Shows

2005 ◽  
Vol 98 (8) ◽  
pp. 564-570
Author(s):  
Matthew A. Carlton ◽  
Mary V. Mortlock

The mathematical branch of probability has its origins in games and gambling. And so it is not surprising that our most common examples for teaching probability in the classroom—coins, dice, and cards—come from this domain. But how else can we teach probability, once these basic examples have been exhausted? Television game shows provide an answer. What we present here is just one of the game shows we have used to introduce students to several aspects of statistics and probability and to spark their interest in these topics.

1988 ◽  
Vol 19 (1) ◽  
pp. 44-63 ◽  
Author(s):  
Joan Garfield ◽  
Andrew Ahlgren

There is a growing movement to introduce elements of statistics and probability into the secondary and even the elementary school curriculum, as part of basic literacy in mathematics. Although many articles in the education literature recommend how to teach statistics better, there is little published research on how students actually learn statistics concepts. The experience of psychologists, educators, and statisticians alike is that a large proportion of students, even in college, do not understand many of the basic statistical concepts they have studied.


Statistics and probability both fall within the broader scope of the theory of random phenomena. The first deals with providing probability distributions adaptable to the various real random phenomena, and the second deals very often with a random sample to describe its properties or infer to the underlying probabilistic model and the estimation of its parameters. The chapter tries to show this connection by reporting examples that are more or less known but that are characterized by being unconventional. Other objects could have been taken into consideration but those chosen are characterized by a closer link with the calculation of probabilities.


2020 ◽  
Vol 9 (11) ◽  
pp. e93991110672
Author(s):  
Breno Gabriel da Silva ◽  
Yana Miranda Borges ◽  
Rafaela Galo

Bearing in mind that the teaching of statistics and probability enables critical development in students, this experience article presents the handling of playful resources aimed at the mathematics classroom, whose target audience was high school students, in which the objective was to enhance students' perception of statistics present in their daily lives. Regarding the methodology, studies related to critical statistical education were used as a theoretical contribution in which they defend the teaching of statistics related to problematization and critical awakening as an instrument in development when observing these concepts present in everyday life, since it is knowledge that the teaching of statistics through the mathematics teacher is often not presented or demonstrated without intertwining it with situations experienced daily. The students' report showed that the use of playfulness to employ the concept of statistics and probability in conjunction with problematization and the possibility of group discussion favored significant learning.


Author(s):  
Geovane Carlos Barbosa ◽  
Sidney Silva Santos ◽  
Douglas da Silva Tinti ◽  
Celi Espasandin Lopes

ResumoCompreende-se que, para que o ensino da estatística e da probabilidade cumpra sua função de instrumento modificador, a formação continuada assume um papel essencial, sobretudo quando são propostos espaços formativos que superem a lógica da racionalidade técnica. Nesse direcionamento, o presente artigo é fruto de uma pesquisa qualitativa, na perspectiva (auto)biográfica, que tem por objetivo analisar narrativas (auto)biográficas de professores que ensinam probabilidade e estatística na educação básica, tomando como suporte o software IRAMUTEQ. As narrativas que compõem o corpus de análise foram produzidas durante o primeiro módulo de um curso de formação continuada no formato EaD, gratuito, que focaliza diferentes práticas pedagógicas para o ensino da estatística. Participaram dez docentes que ensinam estatística nos anos finais do ensino fundamental e no ensino médio. Como estratégia de análise tomaram-se como base estatísticas textuais clássicas, a nuvem de palavras e a análise de similitude. As análises lexicográficas do corpus textual das narrativas evidenciaram possíveis categorias que emergiram diretamente dos dados, das quais se elegeram “Formação”, “Atuação profissional” e “Anseios e expectativas” como eixos de análise. Os resultados deste estudo possibilitam enfatizar que as narrativas, quando utilizadas em processos de formação continuada de professores que ensinam probabilidade e estatística, podem auxiliar o docente na (re)construção da identidade do educador estatístico. Além disso, permitiram refletir sobre a importância da confrontação do conhecimento estatístico com os contextos sociais, para diferenciar as práticas educativas em matemática e estatística. Palavras-chave: IRAMUTEQ. Formação Professores. Atuação Profissional. Narrativas. Pesquisas (Auto)Biográficas. AbstractIt is believed that, for the teaching of statistics and probability to fulfill its role as a modifying instrument, continuing education plays an essential part, especially when formative spaces that surpass the logic of technical rationality are proposed. In this direction, the present article is the result of a qualitative research project, from an (auto)biographical perspective, which aims to analyze (auto)biographical narratives of teachers who teach probability and statistics in elementary education, using the IRAMUTEQ software as a support. The narratives that make up the corpus of analysis were produced during the first module of a free distance learning training course (EaD), focused on different pedagogical practices for teaching statistics. This continuing education course was attended by 10 teachers who teach statistics in the final years of elementary school and in high school. As an analysis strategy, classical textual statistics, word cloud and similarity analysis were used. The lexicographic analyses of the textual corpus of the narratives showed possible categories that emerged directly from the data, from which we chose “Training”, “Professional performance” and “Wishes and expectations” as axes of analysis. Research results enabled us to emphasize that, when used in continuous education processes for teachers who teach probability and statistics, narratives can assist the teacher in the process of (re)building their identity as statistical educators. In addition, they allowed us to reflect on the importance of confronting statistical knowledge with social contexts, making it possible to differentiate educational practices in mathematics and statistics. Keywords: IRAMUTEQ. Teacher Education. Professional Performance; Narratives, (Auto) Biographical Research.


Author(s):  
Rini Dian Anggraini ◽  
Titi Solfitri

Penelitian ini bertujuan untuk mengembangkan perangkat pembelajaran matematika untuk sekolah menengah pertama yaitu kurikulum Silabus, Rencana Pembelajaran dan Lembar Kerja Siswa 2013 tentang statistik dan probabilitas dengan menggunakan model pembelajaran berbasis masalah. Penelitian ini menggunakan model pengembangan oleh Borg dan Gall yang dimodifikasi oleh Sugiyono (2008) melalui langkah-langkah: (1) potensi dan masalah; (2) pengumpulan data; (3) desain produk; (4) validasi desain; (5) revisi desain; (6) uji coba kelompok kecil; (7) revisi produk; (8) uji coba kelompok besar; (9) revisi produk. Pada tahap potensi dan masalah, para peneliti melakukan analisis potensi dan masalah. Kemudian, peneliti mengumpulkan data yang diperlukan sebagai referensi untuk desain perangkat pembelajaran matematika yang akan dikembangkan. Desain perangkat pembelajaran yang telah dikembangkan kemudian divalidasi oleh tiga validator dan direvisi berdasarkan saran validator. Hasil perancangan perangkat pembelajaran kemudian diujicobakan dalam uji coba kelompok kecil yang subjeknya 8 siswa kelas VII SMP Negeri 23 Pekanbaru. Setelah dicoba dalam uji coba kelompok kecil, kemudian direvisi berdasarkan kuesioner dari siswa yang mengikuti uji coba kelompok kecil. Setelah itu, para peneliti melakukan uji coba dalam kelompok besar yang subjeknya adalah 39 siswa kelas VII SMP Negeri 23 Pekanbaru, direvisi lagi dan disempurnakan. Berdasarkan hasil analisis dan diskusi data, perangkat pembelajaran yang telah dikembangkan valid yang nilai untuk Silabus adalah 3,39, rata-rata nilai untuk 5 Rencana Pelajaran adalah 3,41. Nilai rata-rata untuk 5 Lembar Kerja Siswa adalah 3,34. Lembar Kerja Siswa yang telah dikembangkan adalah persyaratan praktis yang memenuhi syarat untuk digunakan oleh siswa sekolah menengah pertama.   This research aimed to develop mathematics learning device for junior high school that are Syllabus, Lesson Plan and Students Worksheet curriculum 2013 on statistics and probability by used problem based learning model. This research use development model by Borg and Gall modified by Sugiyono (2008) through the steps : (1) potentials and problems; (2) data collection; (3) design product; (4) validation of design; (5) revision of design; (6) small group trial; (7) revision of product; (8) large group trial; (9) revision of product. At potentials and problems stage, the researchers conducted analysis of potentials and problems. Then, researchers collect the necessary data as reference to design of mathematics learning device that will be developed. Design of learning device that had been developed then validated by three validators and revised based on validator suggestion. The result of learning device design and then try out in small group trial which subjects are 8 students of VII SMP Negeri 23 Pekanbaru. After try out in small group trial, then it revised based on questionnaire from the students who take the small group trial. After that, the researchers conducted try out in large group trial which subjects are 39 students of VII SMP Negeri 23 Pekanbaru, revised again and refined. Based on result of data analysis and discussion, learning device that had been developed is valid which value for Syllabus is 3,39, the average of value for 5 Lesson Plan are 3,41. The average of value for 5 Students Worksheet are 3,34. Students Worksheet that had been developed is qualify practical requirement to used by students of junior high school.


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