Key Ideas and Insights in the Context of Three High School Geometry Proofs

2006 ◽  
Vol 99 (9) ◽  
pp. 644-649
Author(s):  
Manya Raman ◽  
Keith Weber
Keyword(s):  
High School ◽  
School Level ◽  
Mathematical Education ◽  
Formal Proofs ◽  
High School Level ◽  
High School Geometry ◽  
School Geometry

According to the NCTM Standards (2000), conjecturing and proving should be central activities throughout students' mathematical education. However, the question of how we can help students generate proofs, especially the formal proofs expected at the high school level, is still a difficult one. In this article, we argue that one cause of students' troubles with proof is that they are not accustomed to making the important, but difficult, connections between their intuitive sensemaking and the formal proofs they are supposed to produce. Thus as teachers, we should provide opportunities for students to make these connections.

Giving Geometry Students An Added Edge In Constructions

1982 ◽  
Vol 75 (4) ◽  
pp. 296-301
Author(s):  
Allan A. Gibb
Keyword(s):  
High School ◽  
School Level ◽  
Simple Construction ◽  
High School Level ◽  
Fixed Angle ◽  
High School Geometry ◽  
School Geometry ◽  
History Of ◽  
Tools And Techniques ◽  
Special Case

Several recent articles in this journal and in other NCTM publications indicate a continuing interest in alternatives to the straightedge-and-compass constructions of traditional high school geometry (see Bibliography). A description of various construction tools and techniques may be found in the literature (Eves 1963; Yates 1949), and the history of the topic from the time of the Greeks to the present is a fascinating one. Of the simple construction instruments, one of the least well known is the ruler with two parallel straightedges (a parallel ruler). In 1890, Adler (1906) showed that all the ruler-and-compass constructions can be done using only a ruler with two edges at a fixed angle; the parallel ruler is the special case with angle zero. There does not seem to be a treatment of constructions with the parallel ruler that is at once reasonably complete and accessible to high school geometry students. Most discussions make use of terminology and theorems beyond that usually covered at the high school level, and, further, much of even this material, such as Yates’s Geometrical Tools, is now out of print—surely an undeserved fate for so delightful a book.

Using a Surface Triangle to Explore Curfvature

1994 ◽  
Vol 87 (2) ◽  
pp. 69-77
Author(s):  
James Casey
Keyword(s):  
High School ◽  
School Level ◽  
High School Level ◽  
High School Geometry ◽  
Variable Curvature ◽  
School Geometry ◽  
Geometrical Concepts ◽  
Graduating Students ◽  
Modern Mathematics ◽  
Mathematics And Physics

Although substantial improvements have been made during recent years in the standard high school geometry curriculum, certain weaknesses still exist. Few graduating students are aware of modern geometrical concepts and their fundamental significance for physics and engineering. Thus, for example, the notion of surface curvature, which has had a profound influence on both modern mathematics and physics, is rarely discussed in high school geometry. Of course, one cannot approach this topic in an analytical manner at the high school level, but one can certainly introduce the concept of curvature in an intuitive and physical fashion. Indeed, we are surrounded in our daily life by a wide variety of objects that are curved in the most fascinating ways. For instance, bowls, bottles, and bananas all possess interesting and variable curvature, whereas the globe has curvature that is constant over its surface.

The Taxonomy of Thinking in Reading Questions in “Look Ahead an English Course for Senior High School Level 1, 2, & 3”

2017 ◽  
Vol 6 (2) ◽  
Author(s):  
Beny Septian Panjaitan And Rahmad Husein
Keyword(s):  
High School ◽  
Quantitative Research ◽  
Sampling Technique ◽  
Senior High School ◽  
School Level ◽  
High School Level ◽  
Cognitive Dimension ◽  
Look Ahead ◽  
Table Analysis ◽  
Level 1

This study aimed at analyzing the cognitive dimension based on Revised BloomTaxonomy in reading questions in Look Ahead an English Course for Senior HighSchool Level 1, 2, & 3. This study used quantitative research design. The sampleswere 141 reading questions which taken by using random sampling technique byusing Statistical Program for Social Science (SPSS) version 20.0. in Look Aheadan English Course for Senior High School Level 1, 2, & 3. The data were analyzedby using Table analysis of cognitive dimension of Revised Bloom Taxonomy. Theanalysis showed that the most dominant cognitive dimension of Revised BloomTaxonomy in remembering dimension (57.45%). The second dominant cognitivedimension is understanding dimension (26.24%). The third dominant cognitivedimension is evaluating dimension (10.64%). The fourth dominant cognitivedimension is creating dimension (3.55%). The fifth dominant cognitive dimension isanalyzing dimension (2.13%). There was no cognitive dimension of applyingdimension that applied in reading question of the textbooks.

PEMANFAATAN PENDAPATAN PEDAGANG BAKSO IKAN TUNA KELILING DI KOTA AMBON

2018 ◽  
Vol 2 (2) ◽  
pp. 85-96
Author(s):  
Hardianti Abubakar ◽  
Yolanda MTN Apituley ◽  
Lilian M. Soukotta
Keyword(s):  
High School ◽  
School Level ◽  
Family Needs ◽  
Average Income ◽  
High School Level ◽  
Tuna Fish ◽  
Fish Meat ◽  
The Family ◽  
Personal Needs ◽  
Origin Area

As a form of diversified processed fish meat, tuna meatball is very popular to people in Ambon. This type of food is sold by traders from Java by walking or cycling. Difficulties living in the origin area require traders to leave their families and go out looking for jobs in other areas with hopes that the family needs are met. The purpose of this research is to analyze (1). Characteristics of mobile tuna meatball traders in Ambon, (2). The amount of income received by mobile tuna meatball traders in Ambon, and (3). Percentage income utilized by the mobile tuna meatball traders either in family or personal needs. The study was conducted by survey and data obtained through interviews and observations from May to October 2018. The results show that the average age of meatball traders was between <25-65 yo, having education in junior and senior high school level, with the highest number of dependants 1-2 people and <5 years trading experience. The average income of tuna fish meatball traders is Rp. 4,747,231, - which is used for personal and family needs. Seven  traders use more than 50% for family needs and the rest for personal needs, while six traders utilize more than 60 % for personal needs and the rest for family needs.

Mobile devices on teaching-learning process for high school level

2020 ◽  
Vol 24 (04) ◽  
pp. 330-340
Author(s):  
Wayan Suryasa ◽  
Jose Reynaldo Zambrano Mendoza ◽  
Telmo Mendoza Mera ◽  
Maria Elena Moya Martinez ◽  
Maria Rodriguez Gamez
Keyword(s):  
High School ◽  
Mobile Devices ◽  
Learning Process ◽  
School Level ◽  
High School Level ◽  
Teaching Learning

TITIK FOKUS ILOKUSI ARTIKEL PEMENANG PERTAMA LOMBA PENULISAN OPINI TINGKAT SLTA SEKALIMANTAN SELATAN

Jurnal KATA ◽  
2018 ◽  
Vol 2 (2) ◽  
pp. 371
Author(s):  
Rissari Yayuk
Keyword(s):  
High School ◽  
Data Analysis ◽  
Focal Point ◽  
Senior High School ◽  
School Level ◽  
High School Level ◽  
Purposive Sampling ◽  
Collection Data ◽  
Focus Point ◽  
Opinion Writing

<p><em>This study examines the focal point of illustration of the first winner of the contest for writing opinion of the senior high school level in South Kalimantan. This study aims to describe 1) the focus point of illustration of the title of the first winner of the contest writing opinion of the senior high school level in South Kalimantan? 2) the focal point of information information of the first winner of writing contest for high school level opinion in South Kalimantan; 3) the focal point of illocution of the moral message of the first winner of the high school opinion writing contest in South Kalimantan. The study was conducted in October 2016 at Balai Bahasa Balai. The method used is qualitative deskreptif. The technique used in this paper is the sampling purposive sampling. The sample used as data is the first winner of the contest for writing the opinion of the senior high school level in South Kalimantan, in South Kalimantan Language Hall, in 2016. This first winner is named Norhidayah, a student of SMAN 4 Banjarbaru, with the title of Language Role in Introducing Children of Nation. Data analysis is done by steps, data collection, data identification, classification, selection and interpretation. The results of data analysis are presented in ordinary words with technical terminology. Based on the results of the study of the focal point of the article, the first winner of the South Kalimantan high school opinion writing contest includes the focus point of the title illusion, the focus point of information illocution, and the focus point of the illustration of the moral mandate. The focus of the title illustration can be seen in the meaning of its ilokusinya, language, and suitability of the theme in the title. The focus point of the information illumination of the article can be seen in its meaning of ilokusinya, its language style, and the type of discourse. The focus point of the illustration of its moral mandate can be seen in the author's expectations contained in the title, the focus of the information, and on the final paragraph of the paper</em></p><p><em><br /></em></p><p>Masalah yang dibahasa mengenai titik fokus ilokusi  artikel pemenang pertama  lomba penulisan opini tingkat SLTA se-Kalimantan Selatan. Penelitian ini bertujuan mendeskripsikan 1) titik fokus ilokusi judul artikel pemenang pertama  lomba penulisan opini tingkat SLTA se-Kalimantan Selatan? 2) titik fokus ilokusi informasi artikel pemenang pertama  lomba penulisan opini tingkat SLTA se-Kalimantan Selatan; 3) titik fokus ilokusi amanat moral  artikel pemenang pertama  lomba penulisan opini tingkat SLTA se-Kalimantan Selatan. Penelitian ini dilaksanakan pada bulan Oktober 2016 di Balai Bahasa Kalimantan Selatan. Metode yang digunakan adalah deskreptif kualitatif. Teknik yang digunakan dalam tulisan ini adalah pengambilan sampel purposive sampling. Sampel yang dijadikan data adalah artikel pemenang pertama lomba penulisan opini tingkat SLTA se-Kalimantan Selatan, di Balai Bahasa Kalimantan Selatan, tahun 2016. Pemenang pertama ini bernama Norhidayah, siswa SMAN 4 Banjarbaru, dengan judul Peran Bahasa dalam Mencerdaskan Anak Bangsa. Analisis data dilakukan dengan  langkah-langkah, pengumpulan data, indentifikasi data, klasifikasi, seleksi dan  interpretasi. Hasil analisis data disajikan dengan kata-kata biasa dengan terminologi yang teknis sifatnya. Berdasarkan hasil kajian titik fokus ilokusi artikel pemenang pertama  lomba penulisan opini tingkat SLTA se-Kalimantan Selatan  meliputi titik fokus ilokusi judul, titik fokus ilokusi  informasi , dan  titik fokus ilokusi amanat moral.Titik fokus ilokusi judul dapat dilihat pada makna ilokusinya, gaya bahasanya, daya bahasa, dan kesesuaian tema pada judul. Titik fokus ilokusi informasi artikel dapat dilihat pada makna ilokusinya, gaya bahasanya, dan jenis wacananya.Titik fokus ilokusi amanat moralnya dapat dilihat pada harapan penulis yang terdapat pada judul, fokus informasi, dan pada paragrap akhir karya tulis</p>

The Impact of using 3D Interactive Animation Tool in Teaching Computer Programming at the Senior High School Level

2018 ◽  
Vol 3 (2) ◽  
pp. 18-28
Author(s):  
Najim Ussiph ◽  
Hamidu Kwame Seidu
Keyword(s):  
High School ◽  
Research Work ◽  
Instructional Method ◽  
Senior High School ◽  
School Level ◽  
Eastern Region ◽  
3D Animation ◽  
High School Level ◽  
Significant Difference ◽  
The Impact

A quasi experiment with interview was adopted to study the aptness of using 3D animations as an instructional method to introduce programming concepts to students at the Senior High School level. This research work was conducted with 100 students of Akroso Senior High School in the Birim central municipality of the eastern region of Ghana who were generally programming novice. Programming concepts considered included programming environments, loops, functions sequential and conditional execution of programs. A paired t-test carried out on the results of the performance test presents a p-value of 0.008 indicative of a numerically significant difference between the mean marks of participants during the experiments that used 3D animation method as against the experiments that used the text base method. Results from the interview showed that the instructional method used had impact on the performance of the learners. The use of 3D animation method presented programming concepts in a form that the learners can understand, motivates them to pursue programming related courses at a higher level and also impacts positively on their performance.

High School Band Directors’ Perceptions and Applications of Democratic Rehearsal Procedures in Concert Band Rehearsals

2021 ◽  
pp. 875512332198929
Author(s):  
Alec D. Scherer
Keyword(s):  
High School ◽  
Music Education ◽  
Concert Band ◽  
Band Directors ◽  
School Level ◽  
High School Level ◽  
Classroom Dynamics ◽  
High School Band ◽  
Student Ownership ◽  
School Band

The purpose of this study was to examine inservice high school band directors’ perceptions and applications of democratic rehearsal procedures in concert band rehearsals. Respondents ( N = 216) were members of the National Association for Music Education who were currently teaching concert band at the high school level. Respondents indicated that “identify and describe opportunities for individual and ensemble performance improvement” and “student-led sectionals” were considered the most important democratic rehearsal procedures for their students to experience. These same procedures were also the most frequently used democratic rehearsal procedures. Analysis of open-ended responses revealed that respondents believed student ownership, student engagement, and student growth as musicians and leaders were advantages to implementing democratic rehearsal procedures. Potential disadvantages included issues related to student ability, rehearsal time limitations, unfamiliar classroom dynamics, and availability of classroom resources. Implications for music teachers are discussed.

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