Sugar-cube mathematics

1969 ◽  
Vol 16 (6) ◽  
pp. 427-431
Author(s):  
Jon L. Higgins
Keyword(s):  
Moderate Number ◽  
Multiplication Of Fractions ◽  
Numeration Systems

There's a lot of mathematics in a twentyfive cent box of sugar cubes. They can be used to illustrate different numeration systems, the measurement of volume, multiplication of fractions, and even techniques of estimation. A twenty-five cent box of cocktail-sized sugar cubes contains 210 cubes of surprising uniformity. Suppose we begin by having students verify the number of cubes in the box. (You may wish to cover the numbers printed on the outside of the box. It is also advisable to set one box aside for eating purposes only!) The most direct way to determine the number of cubes is to count them one by one as they are removed from the box and piled on the table. Of course, if you're interrupted in this process and forget where you were, you have little choice but to start all over again. With a moderate number of distractions a counting job like th is could last all morning for many students!

IMPROVEMENT OF LEARNING OUTCOMES IN RESULT USING REALISTIC MATHEMATIC EDUCATION APPROACH IN BASIC SCHOOL

2018 ◽  
Vol 2 (2) ◽  
pp. 157
Author(s):  
Mimik Fernandes ◽  
Farida F ◽  
Yanti Fitria ◽  
Ahmad Fauzan ◽  
Nelvyarni Nelvyarni
Keyword(s):  
Mathematics Education ◽  
Action Research ◽  
Student Learning ◽  
Learning Outcomes ◽  
Student Learning Outcomes ◽  
Class Action ◽  
Realistic Mathematics Education ◽  
Realistic Mathematics ◽  
Multiplication Of Fractions ◽  
Mathematic Education

Based on experience and reflection multiplication of fractions learning at fifth class SDN 33 VII Koto Padang Pariaman district. Student learning outcomes is still low and the learning undertaken by teachers arenot using realistic problem to beginning of learning. So the author through this research trying to improve student learning outcomes in subjects multiplication of fractions. The purpose of this study was to describe the planning, implementation and learning outcomes. This research is action research (class action research), this study used a qualitative and quantitative approach. Learning is used by using the realistic mathematics education approach. After doing research hence an increase in student learning outcomes in multiplication of fractions lesson using realistic mathematics education approach. It can be seen, both from the ability of teachers in designing learning from 83% up to 94%, implementation of learning increased 94% from 77%, and learning outcomes increased to 86,87 from 74,04.

scholarly journals The INSESS-COVID19 Project. Evaluating the Impact of the COVID19 in Social Vulnerability While Preserving Privacy of Participants from Minority Subpopulations

2021 ◽  
Vol 11 (7) ◽  
pp. 3110
Author(s):  
Karina Gibert ◽  
Xavier Angerri
Keyword(s):  
Social Vulnerability ◽  
Data Science ◽  
Policy Design ◽  
Data Driven ◽  
Informed Decision Making ◽  
Technological Infrastructure ◽  
Moderate Number ◽  
Reliable Diagnosis ◽  
Multivariate Relationships ◽  
The Impact

In this paper, the results of the project INSESS-COVID19 are presented, as part of a special call owing to help in the COVID19 crisis in Catalonia. The technological infrastructure and methodology developed in this project allows the quick screening of a territory for a quick a reliable diagnosis in front of an unexpected situation by providing relevant decisional information to support informed decision-making and strategy and policy design. One of the challenges of the project was to extract valuable information from direct participatory processes where specific target profiles of citizens are consulted and to distribute the participation along the whole territory. Having a lot of variables with a moderate number of citizens involved (in this case about 1000) implies the risk of violating statistical secrecy when multivariate relationships are analyzed, thus putting in risk the anonymity of the participants as well as their safety when vulnerable populations are involved, as is the case of INSESS-COVID19. In this paper, the entire data-driven methodology developed in the project is presented and the dealing of the small subgroups of population for statistical secrecy preserving described. The methodology is reusable with any other underlying questionnaire as the data science and reporting parts are totally automatized.

scholarly journals ESTIMATING PURITY AND ENTROPY IN STABILIZER STATE EXPERIMENTS

2010 ◽  
Vol 08 (01n02) ◽  
pp. 325-335 ◽  
Author(s):  
HARALD WUNDERLICH ◽  
MARTIN B. PLENIO
Keyword(s):  
Quantum Information ◽  
Measurement Data ◽  
Simulated Data ◽  
The State ◽  
Graph State ◽  
Graph States ◽  
Underlying Graph ◽  
Moderate Number ◽  
Full State ◽  
State Tomography

Many experiments in quantum information aim at creating graph states. Quantifying the purity of an experimentally achieved graph state could in principle be accomplished using full-state tomography. This method requires a number of measurement settings growing exponentially with the number of constituents involved. Thus, full-state tomography becomes experimentally infeasible even for a moderate number of qubits. In this paper, we present a method to estimate the purity of experimentally achieved graph states with simple measurements. The observables we consider are the stabilizers of the underlying graph. Then, we formulate the problem as: "What is the state with the least purity that is compatible with the measurement data?" We solve this problem analytically and compare the obtained bounds with results from full-state tomography for simulated data.

scholarly journals Description of two new sympatric species of the genus Hisonotus Eigenmann and Eigenmann, 1889, from upper Rio Tapajós, Mato Grosso state, Brazil (Pisces: Ostariophysi: Loricariidae)

2007 ◽  
Vol 67 (3) ◽  
pp. 413-420 ◽  
Author(s):  
HA. Britski ◽  
JC. Garavello
Keyword(s):  
New Species ◽  
Anterior Part ◽  
Sympatric Species ◽  
Growing Up ◽  
Small Species ◽  
Mato Grosso ◽  
Moderate Number ◽  
Two New Species ◽  
Yellow Line

Two new species of the genus Hisonotus are described from the upper Rio Tapajós basin, Mato Grosso State, Brazil. They are small species, growing up to about 30.0 mm SL, having the scapular bridge wide and totally exposed or having a small median pair of arrector fossae, and the abdomen completely covered with large plates in adult specimens (about 23.0 mm SL). They are distinguished from their congeners by the following combination of characters: Hisonotus chromodontus has 20-40 reddish-brown tipped premaxillary teeth, and 15-38 on the dentary bones; 2324 plates on the longitudinal series; a prominent large dark brown lateral stripe extending from the tip of the snout to the caudal blotch; transversal dark brown bars very inconspicuous or absent. Hisonotus luteofrenatus has a moderate number (12-28) of hyaline or slightly yellow-tipped premaxillary teeth, and 9-26 on the dentary bones; 25-26 plates on the longitudinal series; a characteristic yellow line extending from the anterior part of each orbit, over the inferior nostril, both converging to the tip of the snout.

An extension of the Cobham-Semënov Theorem

2000 ◽  
Vol 65 (1) ◽  
pp. 201-211 ◽  
Author(s):  
Alexis Bès
Keyword(s):  
Characteristic Polynomial ◽  
Minimal Polynomial ◽  
Pisot Numbers ◽  
Numeration Systems

AbstractLet θ, θ′ be two multiplicatively independent Pisot numbers, and letU,U′ be two linear numeration systems whose characteristic polynomial is the minimal polynomial of θ and θ′, respectively. For everyn≥ 1, ifA⊆ ℕnisU-andU′ -recognizable thenAis definable in 〈ℕ: + 〉.

scholarly journals Linear numeration systems of order two

1988 ◽  
Vol 77 (3) ◽  
pp. 233-259 ◽  
Author(s):  
Christiane Frougny
Keyword(s):  
Numeration Systems

scholarly journals Regular sequences and synchronized sequences in abstract numeration systems

2022 ◽  
Vol 101 ◽  
pp. 103475
Author(s):  
Émilie Charlier ◽  
Célia Cisternino ◽  
Manon Stipulanti
Keyword(s):  
Regular Sequences ◽  
Numeration Systems

scholarly journals Tuke House: Initial experience of a new community service for neurotic illness

1987 ◽  
Vol 11 (8) ◽  
pp. 269-271
Author(s):  
David Newby ◽  
B. Lake ◽  
A. C. P. Sims
Keyword(s):  
Community Service ◽  
Initial Experience ◽  
Moderate Number ◽  
Number Of Patients ◽  
New Community

‘The number in each room rarely, if ever, exceeded ten. Here, I generally found several of the patients engaged in some useful or amusing employment. Every class seemed to form a little family … I incline to think, that the probability of recovery is greater, where a moderate number of patients associate together … I incline to think the number ought in no case to exceed fifteen’.

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