Understanding Word Problems

1985 ◽  
Vol 32 (5) ◽  
pp. 13-17
Author(s):  
J. Dan Knifong ◽  
Grace M. Burton

The ability of nine- and thirteen-year-olds to solve word problems has declined significantly since the First National Assessment of Educational Progress in 1972–73 (Carpenter et al. 1980). This drop is unfortunate, because learning to solve word problems prepares students to use mathematics in the real world. Teaching children to think logically about word problems is at the core of the professional responsibility of mathematics educators.

1990 ◽  
Vol 38 (3) ◽  
pp. 35-38
Author(s):  
Margaret I. Ford

Over the past decade, mathematics educators have promoted problem solving as the goal of school mathematics. Yet in 1987, the National Assessment of Educational Progress revealed that our nation's schoolchildren are still falling short of our goals for their problem solving abilities. Many students dislike word problems in mathematics, and many teachers report feeling frustration and discouragement in helping their students learn how to solve such problems (Ford 1988). What can teachers do to improve students' attitude toward problem solving and to realize the goal of helping students become better problem solver?


2020 ◽  
Vol 41 (Supplement_2) ◽  
Author(s):  
P Suwannasom ◽  
K Leemasawat ◽  
A Phrommintikul ◽  
R Krittayaphong ◽  
P Tatsanavivat ◽  
...  

Abstract Background In the PEGASUS-TIMI 54 trial, the long-term use of low-dose ticagrelor in addition to aspirin in patients with prior myocardial infarction (MI) more than 1 year could reduce the composite endpoints of major adverse cardiac events (MACE). However, it came with the expense of bleeding complication compared with the patients taking aspirin alone. Purpose We sought to describe the proportion of patients who would have benefit from low-dose ticagrelor according to the PEGASUS-TIMI 54 trial and to explore the long-term prognosis of those patients in comparison with the patients who did not meet the trial criteria in the real-world practice. Method The Cohort Of patients with high Risk for cardiovascular Events (CORE-Thailand) registry is a prospective, multicentre, observational, longitudinal study of Thai patients with high atherosclerotic risk. The study included the patients with established coronary artery disease (CAD), cerebrovascular disease (CVD) or peripheral arterial disease (PAD), or with at least three atherosclerosis risk factors. The PEGASUS-TIMI 54 inclusion and exclusion criteria were applied to the CORE-Thailand population and stratified the patients into 4 groups as follows; prior MI patients with PEGASUS-TIMI 54 eligible criteria (PE group); prior MI patients without PEGASUS-TIMI 54 eligible criteria according to the time of index MI occurred <1 year (NP1 group), 1–3 years (NP1–3 group) and >3 years (NP3 group). The baseline characteristics and the incidence of MACE (cardiovascular death, MI or stroke) according to the PEGASUS TIMI-54 trial were compared among the four groups. Results From the 9,390 enrolled patients, 2,109 had prior MI. Six hundred and ninety-nine (33.1%) of the patients were stratified to the PE group whereas 15.7%, 14.7% and 36.5% were NP1, NP1–3 and NP3, respectively. The incidence of MACE at 730 days in the PE group was 5.2% followed by 4.5%, 2.9%, 2.2%, in the NP1 group, NP3 group and NP1–3, respectively. Interestingly, the incidence of MACE in NP 1–3 group and NP3 were comparable between the groups, p=0.53. When compared the MACE rates between the PE group the NP1–3 group, the PE group significantly experienced MACE more than the NP1–3 group (hazard ratio [HR] 2.34, confidence interval [CI] 1.95–5.28; p=0.039). The incidence of all-cause death in the PE group was also higher than the NP1–3 (5.2% vs. 2.2%, HR 2.37 CI 1.05–5.33, p=0.037). Conclusion The proportion of the patients in the CORE-Thailand registry who would have benefit from the low-dose ticagrelor represent in one-third of the entire population reflecting that the external applicability of the PEGASUS in the CORE-Thailand registry is feasible. The presence of PEGASUS-TIMI 54 eligible criteria is associated with the higher MACE rates and all-cause mortality compared with the patients who had prior MI between 1 and 3 years but did not meet trial criteria. Cumulative incidence of MACE Funding Acknowledgement Type of funding source: Public grant(s) – National budget only. Main funding source(s): The Heart Association of Thailand under the Royal Patronage of H.M. the King and the National Research Council of Thailand


2003 ◽  
Vol 51 (3) ◽  
pp. 542-557 ◽  
Author(s):  
Richard Vernon

Recently, states and other institutions have undertaken to make restitution for past abuses. Distinctions need to be made between various kinds of restitutive practices that rest on quite different normative grounds. Moreover, the core idea of restitution, in attaching obligation to particular historically grounded relationships, is questionable, and what is being attempted is better explained and justified in terms of a number of standard principles of justice of a non-restitutive kind; for although there is, in principle, a clear case of restitutive justice, its elements rarely, if ever, exist in the real world in an unmixed state. Although there are significant objections to deriving local obligations from principles of universal justice, they have no force in this case. Policies termed ‘restitutive’ may well be justifiable, but they are misdescribed.


1982 ◽  
Vol 30 (3) ◽  
pp. 24-26
Author(s):  
James M. Moser ◽  
Thomas P. Carpenter

Do you think many first-grade children could solve this comparison problem? Joe won 6 prizes at the fair. His sister Connie won 9 prizes. How many more prizes did Connie win than Joe? Most curricular programs apparently assume that word problems are difficult for children of all ages, and that children must master symbolic addition and subtraction operations before they will be able to solve even simple word problems. Recent National Assessment of Educational Progress (NAEP) results (Carpenter et al. 1980) also give some credence to the belief that children are poor at problem solving. We believe. however, that young children are good problem solvers.


2021 ◽  
Vol 21 (2) ◽  
pp. 157
Author(s):  
Manfred Jürgen Matschke ◽  
Gerrit Brösel ◽  
Patrick Thielmann

Functional business valuation is the prevailing doctrine in the theoretically well-founded German-language literature, because the value of a company is primarily dependent on the purpose (function) of the valuation. This paper deals with one of the three main functions of business valuation: the argumentation function. This is where the argumentation value of the business is determined. The argumentation function is the function that has been the least theoretically developed and accepted to date, but is probably the most commonly used one in the real world. This article shows for the first time in the English-language literature the core ideas of the theoretical foundation of this function.


2019 ◽  
pp. 254-270
Author(s):  
Dan Moller

This chapter argues for a middle course in our political theory between utopian idealism and pragmatic realism. We should not accept that people’s current political opinions are immutable, but neither should we imagine away deep-seated features of human nature in an exercise of political fantasy. This chapter seeks to delineate how we may distinguish between objectionable utopianism and objectionable realism. The core distinction drawn lies between conative changes in response to arguments we put to our fellow citizens, and changes requiring alteration in our basic drives and motivations. The chapter concludes by arguing for incremental change, and against revolutionary politics.


2021 ◽  
Vol 58 (1) ◽  
pp. 1787-1789
Author(s):  
Nirupa S., Dr. Jansirani

The open doors for a cutting edge kid or significantly more seasoned understudies to learn Although there are numerous conclusions about what is the issue here, it is additionally simple to see the numerous impacts of workmanship in individuals' regular daily existence. We could also ask what it is to be a person, as to ask what workmanship is ? Craftsmanship stimulatingly affects us, it stirs the faculties, it invigorates the mind, causes us to feel profound feelings and it makes us think in another manner. Workmanship has its impacts too on enthusiastic life as in the psychological and scholarly upgrade. A further meaning of craftsmanship may prompt an explanation that workmanship is accomplishments, items or exercises with which we attempt to alert others to similar encounters, sentiments and feelings that we have survived ourselves. This is normally done by utilizing the faculties to find the core interest. The faculties and tactile, eidetic or sense insight based encounters are in a vital situation to clarify the substance of craftsmanship. A person is constantly looking for a reaching surface to the real world and fact (so to state genuine world) through his own hands, by contacting and by doing assignments by hand. Workmanship is showing a reality in which the individual lives; it intercedes and supplies human encounters and simultaneously it sees the various parts of being a person. Workmanship and expertise subjects broaden the originations about the encompassing scene simultaneously as they offer good, tasteful and moral qualities through close to home encounters these qualities have diminished during that time at school just as in college level training. These qualities are absent in the perspective of numerous youngsters today, as we effectively can see from papers and other media. Some worldwide similar examination has demonstrated unmistakably that the completion educational system is succeeding astoundingly in instructing data


1975 ◽  
Vol 22 (6) ◽  
pp. 501-507
Author(s):  
Terrence G. Coburn ◽  
Robert E. Reys ◽  
James W. Wilson

A direct result of the increased attention being focused on the metric system is the reexamination of the entire area of measurement in the curriculum. For many this reex amination has led to the conclusion that the real problem in teaching metric measurement will not be with the metric units but with basic concepts of measurement. This contention is supported by the results of selected measurement exercises from the mathematics assessment of the National Assessment of Educational Progress (NAEP). This article focuses on two of these exercises that tested fun damental area and volume concepts.


1991 ◽  
Vol 84 (6) ◽  
pp. 442-478
Author(s):  
Ruth E. Parker

A long history of traditions has grown up around what is meant by a good mathematics teacher and a good mathematics student. As many educators recognize, however, those traditions have little in common with mathematics in the world of the 1990s. Mathematics as it is used in the real world is not about the memorization of theorems or rote procedures for getting right answers. It is not about performing well on multiplechoice or short-answer tests under time constraints. “At the heart of mathematics is the search for sense and meaning, order and predictability. Mathematics is the study of patterns and relationships” (Richardson and Salkeld, in press). The challenge for mathematics educators is to align the culture of school mathematics with the culture of mathematics in the real world. With its publication of the Curriculum and Evaluation S tandards for School Mathematics (1989), the National Council of Teachers of Mathematics (NCTM) established the direction for such mathematics reform.


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