Division by zero

1971 ◽  
Vol 18 (6) ◽  
pp. 381-382
Author(s):  
Hilda F. Duncan

In the teaching of elementary arithmetic we introduce the students to 100 addition facts, 100 subtraction facts, and 100 multiplication facts. When it comes to division, however, most teachers and books present or discuss only 90 basic facts. Many children will not think to question this nonsymmetric arrangement, but what about those who do? What explanation can we give the alert and inquisitive child who wants to know why we have omitted 10 division facts from our list?

Author(s):  
Bambang Wahyu Nugroho ◽  
Ikrar Pramudya ◽  
Sri Subanti

As one of the mathematics objects, the basic facts of mathematics are the primary material that students must master. The facts of addition and subtraction should have been taught in the first level and mastered by the end of the second level. The multiplication and division facts should have been taught at the third level and could be mastered at the fourth level. The primary fact mastery phase consists of a counting phase, a reasoning phase, and a mastering/advanced phase. Mathematics as science should also be accepted by all students regardless of their characteristics, background, or physical needs. They must have the opportunity to learn and be supported to learn mathematics, one of which is a child with special needs slow learner. This research aims to describe the mastery of basic math facts in slow learner children. This is qualitative research, with research subjects totaling three slow learner students of Melana Junior Hight School, Semarang. Subjects are selected by purposive sampling. Data are collected through tests. Time triangulation is used for data validation. Data collection is carried out three times with a gap of 2-3 weeks. The data analysis technique in this research is data reduction, data presentation, and concluding. The research results conclude that the slow learner children are not yet proficient in mastering the basic facts of mathematics. There are slow learner children who can reach the reasoning stage in mastering basic facts, but more are still in the counting stage. Slow learner children who have good basic fact skills have better grades in mathematics. The addition facts are the most effortless facts to master, while the division facts are the most difficult facts to master. Some students can master multiplication facts better than subtraction facts, but some can master subtraction facts more than multiplication facts.


1981 ◽  
Vol 28 (7) ◽  
pp. 20-24
Author(s):  
Beth E. Lazerick

If 2 + 2 = 4 today, then it had better equal “4” tomorrow. This may seem trivial to adults who have memorized the basic facts of addition, but this is anything but obvious to the first-grade child who is beginning to struggle with the intricacies of memorizing the basic facts of addition. Fortunately, what once was called the “one hundred basic addition facts” has been mercifully whittled to about fifty-five ”real” facts and a few simple rules. (Heddens 1980, Underhill 1972) How is this done? Quite simply, thank goodness. Since nobody argues with the need to memorize the basic facts of addition, children should at least be able to do it in the simplest possible way. One alternative method for doing this is outlined here.


2004 ◽  
Vol 10 (7) ◽  
pp. 362-367
Author(s):  
Lisa Buchholz

Teaching the basic facts seemed like the logical thing to do. Wouldn't a study of the basic facts make mathematics computation much easier for my students in the future? How could I help my students memorize and internalize this seemingly rote information? How could I get rid of finger counting and move on to mental computation? As I embarked on my first year of teaching second grade following many years of teaching first grade, these questions rolled through my head.


1983 ◽  
Vol 31 (1) ◽  
pp. 38-41
Author(s):  
Carol LaSasso ◽  
Philip L. Mackall

The procedure that is described in this article was developed several year ago for use with 12-to-15-year-old deaf student who could not remember basic addition and subtraction facts. Since its development, the procedure has been used successfully with numerous deaf children between the age of 8 and 17 years.


2005 ◽  
Vol 28 (3) ◽  
pp. 233-242 ◽  
Author(s):  
Paul J. Riccomini

The present study investigated 90 elementary teachers' ability to identify two systematic error patterns in subtraction and then prescribe an instructional focus. Presented with two sets of 20 completed subtraction problems comprised of basic facts, computation, and word problems representative of two students' math performance, participants were asked to examine each incorrect subtraction problem and describe the errors. Participants were subsequently asked which type of error they would address first during math instruction to correct students' misconceptions. An analysis of the data indicated teachers were able to describe specific error patterns. However, they did not base their instructional focus on the error patterns identified, and more than half of the teachers chose to address basic subtraction facts first during instruction regardless of error type. Limitations of the study and implications for practice are discussed.


1990 ◽  
Vol 37 (8) ◽  
pp. 38-41
Author(s):  
Miriam M. Feinberg

Memorizing the basic addition and subtraction facts becomes an insurmountable problem for many pupils, and finger counting remains their basic counting tool in the middle and upper grades. However, if they recognize and use patterns, they can develop a better understanding of the number system. An understanding of patterns then becomes an important tool as they progress to increasingly complex mathematical problems.


1981 ◽  
Vol 29 (4) ◽  
pp. 6-9
Author(s):  
David R. O'Neil ◽  
Rosalie Jensen

One complaint often voiced by elementary teachers is that some of their students are unable to readily grasp new concepts because they do not have sufficient command of the basic facts. This month we are suggesting some strategies teachers can use to help their students master the basic addition facts. The same strategies can be adapted to the memorization of basic facts for the other operations.


1983 ◽  
Vol 14 (3) ◽  
pp. 198-203
Author(s):  
Carol A. Thornton ◽  
Graham A. Jones ◽  
Margaret A. Toohey

An earlier study by Thornton (1978) emphasized the use of thinking strategies over the traditional “sums to” approach for helping pupils learn the basic facts. The present study extended this research by using thinking strategies with pupils requiring special help because of severe learning deficiencies in mathematics and by using an approach with characteristics not tested in the previous study.


1962 ◽  
Vol 9 (3) ◽  
pp. 149-151
Author(s):  
John Careccio

When children get into the fifth, sixth and seventh grades and do not know their multiplication facts, there are a number of ways a teacher can help to give them practice so that they can learn these basic facts. Boredom engulfs students when they have to multiply endless examples. Teachers realize that students need this practice to reinforce what they do know and to give opportunities to use combinations they don't know. There are ways to give this practice and, at the same time, teach new material.


1959 ◽  
Vol 6 (4) ◽  
pp. 195-198
Author(s):  
Foster E. Grossnickle

A pupil maylearn the basic facts in multiplication by rote or he may discover them for himself. Usually a pupil finds it advantageous to have objective aids of some kind to help him find the answers to different number groupings in this process. A number grouping consists of any combination of two one-place numbers.


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