JS

3 records found

## The integral as accumulation function approach

### A proposal of a learning sequence for collaborative reasoning

Learning mathematical thinking and reasoning is a main goal in mathematical education. Instructional tasks have an important role in fostering this learning. We introduce a learning sequence to approach the topic of integrals in secondary education to support students mathematica ...

## Search for Symbol Sense Behavior

### Students in Upper Secondary Education Solving Algebraic Physics Problems

Students in upper secondary education encounter difficulties in applying mathematics in physics. To improve our understanding of these difficulties, we examined symbol sense behavior of six grade 10 physics students solving algebraic physic problems. Our data confirmed that stude ...

## Search for Symbol Sense Behavior

### Students in Upper Secondary Education Solving Algebraic Physics Problems

Students in upper secondary education encounter difficulties in applying mathematics in physics. To improve our understanding of these difficulties, we examined symbol sense behavior of six grade 10 physics students solving algebraic physic problems. Our data confirmed that stude ...

17 records found

## Posits als vervanging van floating-points

### Een vergelijking van Unum Type III Posits met IEEE 754 Floating Points met Mathematica en Python

In dit verslag worden de resultaten van literatuuronderzoek naar de voor- en nadelen van floats en posits gepresenteerd. Naar aanleiding van de resultaten is de hypothese opgesteld dat posits een goede "drop-in replacement" zouden zijn voor floats vanwege het grotere bereik, de a ...

## Representation theory and the regular representation

### Splitting the regular representation into its group invariant subspaces

Representation theory is a branch in mathematics that studies group homomorphisms between a group and the automorphism group of a vector space. A special representation that every group has is the regular representation. This representation permutes all elements of the group in a ...

## Efficient stochastic simulation on discrete spaces

### Using balancing functions to incorporate local target density information into Markov Chain Monte Carlo sampling schemes

The breadth of theoretical results on efficient Markov Chain Monte Carlo (MCMC) sampling schemes on discrete spaces is slim when compared to the available theory for MCMC sampling schemes on continuous spaces. Nonetheless, in [Zan17] a simple framework to design Metropolis-Hastin ...

## Landens transformatie

### De verbinding tussen π, het RMG en de bètafunctie

Eerst introduceren we het rekenkundig-meetkundig gemiddelde (RMG), een snel convergerend algoritme dat een verband heeft met π en nog veel meer constanten en functies. Hoffmann toont dit in een bewijs aan, echter is deze niet waterdicht en amper onderbouwd. Daarom gaan wij ons ve ...

## Symmetry groups of regular polytopes in three and four dimensions

### The Platonic Solids, Binary Groups and Regular Polytopes in four-dimensional space

A pentagon is an example of a highly symmetric polygon in two-dimensional space. The three-and four-dimensional analogue of these polygons are the regular polyhedra and the regular polytopes. There exist five regular polyhedra in three-dimensional space and these are called the P ...

## Synchronize with noise

### Synchronization in a mean-field model of interacting oscillators in a random environment

A variation on the random Kuramoto model was analyzed, a mean-field model which describes the behavior of coupled oscillators in a random environment. The analytic results are based on the behavior of the system in the infinite volume limit. In the analysis critical values were f ...

## Peer Learning en Succescriteria

### Leerlingen helpen bij het beantwoorden van de vraagstukken ‘Waar moet ik heen?’ en ‘Waar sta ik nu?’

Het doel van dit onderzoek is om leerlingen te helpen bij het beantwoorden van de vragen ‘Waar moet ik heen?’ en ‘Waar sta ik nu?’ en gaandeweg factoren ontdekken die leerlingen hierbij belemmeren. De eerstgenoemde vraag gaat over het deel van het leerproces waarin leerlingen een ...

## Peer assessment in high school mathematics class

### Using peer assessment as formative assessment

Peer assessment (PA) is a process that involves students assessing each other’s work and providing their peers with (elaborated) feedback. This thesis investigates how an elaborated form of formative PA can be implemented in the mathematics class to promote students’ achievement ...

## Geometry and Algebra

### Relating axioms for plane geometry to the field axioms

In 1908, the mathematician Felix Klein published a book Elementary Mathematics from an Advanced Standpoint: Geometry. This title aptly characterizes the focus of this thesis. This thesis introduces the axioms for Euclidean and projective plane geometry. Afterwards an arithmetic o ...

## Is every expert equal?

### An analysis of the differences in performance in structured expert judgement

In this thesis the differences in performance scores of experts in the Classical Model for structured expert judgement are analyzed. The underlying assumption in the Classical Model is that variance in performances of experts in a panel is at least partly resultant of the expert' ...

## Taxis Dispatch

### Minimizing waiting times by maximizing coverage

In this thesis, we investigate whether maximizing the coverage of taxis can be beneficial when the goal is to minimize the waiting times of the clients. When dispatching taxis, often only current requests are taken into account and not future ones. We examined how beneficial it c ...

## Wiskundige problemen leren oplossen in "Thinking Classrooms"

### Het verbeteren van de lespraktijk met individuele werkbladen en het stimuleren van reflecties

Hoewel het probleemoplossen in het wiskundecurriculum is opgenomen, hebben docenten vaak behoefte aan meer praktische ondersteuning bij het onderwijzen ervan. De recent in het Nederlands gepubliceerde didactiek ”Building Thinking Classrooms” van Peter Liljedahl met daarin veertie ...

## Wiskundige problemen leren oplossen in "Thinking Classrooms"

### Het verbeteren van de lespraktijk met individuele werkbladen en het stimuleren van reflecties

Hoewel het probleemoplossen in het wiskundecurriculum is opgenomen, hebben docenten vaak behoefte aan meer praktische ondersteuning bij het onderwijzen ervan. De recent in het Nederlands gepubliceerde didactiek ”Building Thinking Classrooms” van Peter Liljedahl met daarin veertie ...
The Morris method is a widely used screening method in sensitivity analysis. The method assumes that the input parameters are independent of each other. To overcome the assumption a copula-based Morris method is proposed. In this report the results of taking the dependencies into ...
Option valuation is one of the more applied areas of mathematics. Options are financial derivatives whose value depends on the value of an underlying asset. They are frequently used in hedging to minimize the risk when trading in the underlying stock and therefore require accurat ...
Deriving the location of the maximum of a Brownian Motion with downward quadratic drift. Proving it is welldefined then finding an algorithmic method to simplify expressions of the moments.
In this paper a two agent wealth distribution model for a closed economic system developed in [2] is presented and extended. We first extend the model by randomly distributing the propensity to save of the agents. We derive a closed form of the stationary relative wealth measure ...