Experimental projects and research: The School Mathematics Study Group Project on Elementary-School Mathematics

In the Mathematical Community there is a real interest in the mathematics that our children arc being taught and all of us have a sincere desire to help in planning a sound mathematical curriculum. Many of you, I am sure, are aware of the several groups which unite the talents of professional mathematicians and expert teachers in an effort to make a substantial contribution to elementary and secondary school mathematics. I refer particularly to the School Mathematics Study Group under the direction of Professor E. G. Beglc of Yale University, to the Commission on Mathematics of the College Entrance Examination Board, and to the University of Illinois chool of Mathematics under the direction of Professor Max Beberman. I have been privileged to work with the School Mathematics Swdy Group and I am extremely enthusiastic and optimistic about the series of textbooks which are being tried out this year in 40 different centers. These textbooks range from the 7th to the 12th grades.

The School Mathematics Study Group

A Report on the Baton Rouge Center for Grades Seven and Eight School Mathematics Study Group, 1958-59

Summary It was hypothesized that high math achievement students would correctly assess syllogisms with positively and negatively worded premise statements more often than students of low math achievement, and that they would be more confident in their answers. The Mathematics Inventory I examination prepared by the School Mathematics Study Group and a disjunctive syllogism test authored by the investigator were administered to 550 male and female 8th/9th grade algebra students. Students with the top 150 and bottom 150 scores on the Mathematics Inventory made up the high and low groups. Findings revealed that students of high math achievement were not more competent in analyzing disjunctive syllogisms than students of low math achievement, nor did they express more confidence in their responses. Unexpectedly, low math achievement students were more competent with syllogisms of the form PVQ, ∼ P and PVQ, ∼ Q than high math achievement students. This was particularly true when at least one of the statements P or Q was negatively worded. As expected, students of high math achievement were more competent with forms of the type PVQ, P and PVQ, Q than low math achievement students. The observed differences, however, were not statistically significant.

One of the reasons for the low numeracy skills in elementary schools is the lack of application of instructional media which provides opportunities for students to practice directly and train themselves to be skilled at counting. To improve students' numeracy skills, learning innovations are needed that involve students actively through direct learning experiences. One alternative solution to this problem is to use colored beads as learning media in learning Mathematics in Elementary Schools. This study aims to find out 1) to know the application of color bead media to grade 1 elementary school mathematics 2) to find out the increase in math skills in grade 1 elementary school students after using color bead media, and 3) to know the effect of using the media the color of the beads on the numeracy skills of 1st grade students. This research is a systematic literature study. Based on this discussion, the media of colored beads is very effective for improving students' numeracy skills, because students have the opportunity to directly practice and train themselves to be skilled at counting. The results of the research are expected to provide an overview for developing further research regarding improving numeracy skills through learning media of colored beads in mathematics in elementary schools.

The modern world, with its emphasis on science and mathematics, has given birth to new concepts in these fields. The dire need for trained mathematicians and an informed public resulted in the recognition of the need to incorporate into the study of mathematics new material and to present the old in a new light. The School Mathematics Study Group material is a prime mover in this field; it offers the new topics and language of elementary and high school mathematics, using modern approaches to learning.

Over the years since its advent in 1954 The Arithmetic Teacher has developed into the largest publisher of research articles concerned with elementary school mathematics. In fact, out of 799 research studies identified by Suydam1 (published in fifty journals between 1900 and 1965), 158 appeared in The Arithmetic Teacher. This number represents more research reports in elementary school mathematics than were published by any other journal. This publication record is very appropriate since The Arithmetic Teacher reaches a wide audience of persons interested in mathematics on the elementary school level. It is read by classroom teachers, supervisors, principals, mathematics educators, and educational researchers interested in elementary school mathematics.2 With this audience, which varies greatly in research background, it is essential that reports be accurate, informative, concise, and readable. It is our contention that a research article can be so clearly written that it is informative to both the technical and nontechnical reader.

Psychology in the SchoolsVolume 7, Issue 2 p. 111-126 Article Accelerated program in elementary-school mathematics—the fourth year Patrick Suppes, Patrick Suppes Institute for Mathematical Studies in the Social Sciences Stanford UniversitySearch for more papers by this authorConstance Ihrke, Constance Ihrke Institute for Mathematical Studies in the Social Sciences Stanford UniversitySearch for more papers by this author Patrick Suppes, Patrick Suppes Institute for Mathematical Studies in the Social Sciences Stanford UniversitySearch for more papers by this authorConstance Ihrke, Constance Ihrke Institute for Mathematical Studies in the Social Sciences Stanford UniversitySearch for more papers by this author First published: April 1970 https://doi.org/10.1002/1520-6807(197004)7:2<111::AID-PITS2310070204>3.0.CO;2-ICitations: 3AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat Citing Literature Volume7, Issue2April 1970Pages 111-126 RelatedInformation

In some of the newer programs in elementary school mathematics there is an attempt to close what has previously been quite a gap between arithmetic and algebra; to use algebra as a way of bringing adventurous thinking to the mathematics content of the grades. It may be that algebraic approaches to some of our elementary school mathematics will help children grasp generalizations and build concepts more adequately. Why? Because under the guidance of a skillful teacher they have the opportunity to try out and test variation after variation while keeping constant the basic concept which is being developed.

Mathematics is an important discipline in education which provides a basis for problem solving, critical thinking and analytical skills. Textbooks are as important for mathematics as they are for other subjects. Problem posing is one of the important activities in mathematics education. The purpose of this study is to analyze the activities of problem presentation in the mathematics’ textbooks of primary schools from the first to the fifth grade provide by the Ministry of Education and Science. For this purpose, five elementary school mathematics’ texts were analyzed with the method of analysis, educational fields and types of problem presentation. The results show that in the textbooks of the subject of mathematics from the first to the fifth grade, excluding the mathematics book for the third grade, they are presented in total 20%, 29%, 34% and 37%, respectively, problem tasks have been presented. From the results, it is considered necessary to increase the number of problem activities in textbooks, their application in everyday life and to diversify the type of problem presentation.

This community service (PKM) activity aims to overcome the problems experienced by teachers at Pesisir Elementary School. new silo village, X hamlet, Silo Laut District, Asahan Regency. Namely the difficulty of teachers in cultivating students' interest in studying mathematics and the lack of a fun learning approach, one of which is the use of the Puzzle Straw mathematics props. Mathematical Straw Puzzles are puzzles that involve arranging straws to complete a challenge or achieve a certain goal. This can be a creative and fun form of puzzle or game involving the manipulation or arrangement of straws. This service activity was attended by 6 Pesisir Elementary School teachers. The results of this PKM activity are: 1) Students are more enthusiastic in learning mathematics, especially in geometric geometric material. This is because the Puzzle Straw teaching aid allows students to directly explore geometric concepts of geometric shapes. Students not only sit and listen to the teacher's explanation, but can also see directly all the objects in the props, carry out gradual exploration, and demonstrate the physical objects of the props. 2) Teachers' enthusiasm for responding to PKM program material has increased. This is indicated by the number of teachers asking questions, suggestions and criticism, as well as providing solution views on the application of Puzzle Straw teaching aids in elementary schools. 3) There has been a significant increase in teachers' knowledge and understanding of elementary school mathematics concepts, as well as the benefits of the Puzzle Straw teaching aids in elementary school mathematics learning, especially the concept of spatial geometry. This can be seen from the number of teachers who can answer questions about elementary school mathematics concepts, and can explain the benefits of the Puzzle Straw teaching aids in elementary school mathematics learning.

This paper discusses early algebra as it relates to the Mathematics Specialist program. Early algebra is described based on research and readings from the body of literature focused on early algebra. Reasons why early algebra should be emphasized in elementary school mathematics are discussed, followed by a description of the role elementary school Mathematics Specialists must play if schools are to begin to focus on early algebraic instruction. Finally, some suggestions are made for ways the Mathematics Specialist program might encourage more explicitly an early algebraic approach to elementary school mathematics.

This study started from the question whether it is appropriate to use the equal sign in the division with the remainder (eg, 19÷5=3…4) presented in the textbooks of elementary school. The equal sign is a symbol representing a mathematical equivalence. It includes two components of a relational conception of the equal sign: sameness and substitution. However, there are many contradictions in applying 19÷5=3…4 to the substitution situation. In this study, first, it examined the necessity of substitution component of equal sign in elementary school mathematics. It identified the subjects in which the substitution component of equal sign plays an important role. Next, it investigated various contradictions that arise when using equal sign in 19÷5=3…4. The results of this study suggest that the substitution component of equal sign is important in elementary school mathematics and that there is a need to deal more carefully to avoid contradictions when using equal signs in textbooks.

The textbook is a collection of methodical tasks. Its purpose is to form the future teacher's methodological knowledge, skills and experience of creative activity for the implementation in practice of the ideas of developing teaching Junior students mathematics. This tutorial along with a tutorial.GN B. Istomina-Ostrovskoy. ZB. T. V. Smoleusova, N. B. Tikhonova. Ivanova "Methods of teaching mathematics in primary school" is the MIND of the discipline "Methods of teaching mathematics in elementary school." The purpose of UMK is to develop methodical thinking of students, to form their ability to apply mathematical, pedagogical, psychological and methodological knowledge for the organization of activities of primary school students in the process of teaching mathematics. Meets the requirements of the Federal state educational standard of higher education of the last generation. For students enrolled in the direction of "Pedagogical education "(qualification" bachelor"), as well as for teachers working in primary classes, and masters.

Mathematics in elementary schools includes three branches of knowledge that are taught in the field of mathematics studies, including arithmetic, algebra, and geometry. Most students who have just entered school already recognize symbols as well as how to name a number. They are able to number sequentially, although there are still many who do not really know how to write and recognize number symbols properly and correctly. Based on the results of interviews with teachers in class II A SD Negeri Panyirapan 02, from the total number of students, namely 36 people, 5 students have been found who have problems writing two-digit number symbols. Referring to the facts in the field, this study aims to determine the causes of students experiencing errors in writing two-digit numbers and find out how the application and success of number puzzle media as an effort to overcome existing problems. The research approach used is a qualitative approach, using case study methods through in-depth interviews, observations, tests, and documentation. From the results of the study, it has been found that there are several factors that can cause learning difficulties that can result in errors in writing two-digit numbers, namely internal factors and external factors. Then, in the application of number puzzle media as an effort to overcome existing problems, students are directly involved in using the media so that they are very enthusiastic in participating in learning. With an increase in the value obtained by students, namely when the pre-test the lowest score that students get is 65, while during the post-test the lowest score that students get is 80, then the average student is wrong in answering the number of questions about counting, while for the number of questions about writing number symbols can be answered correctly by all students. Referring to the results obtained, the number puzzle media can be a solution to overcome students' problems in writing number symbol errors.