Modern Calculus Research Paper

Modern Calculus Research Paper
The existence of historical resources for calculus is rather limited, as observed from personal
experience, as is the knowledge of its own individuality outside of using its standard equations.
From your own writings, it appears you have similar experiences, ones that are memorable to you,
as both math researcher and professor. The concept of modern calculus is one approached as a tool
which is to be utilized under the limitations of scientific or algebraic uses. However, in you showing
the subject with its importance in the infinite, and in introducing math as more physically
applicable, (naming it such that "the world is numbers") creates not only a more distinctly
philosophical epithet for calculus, but also expresses how unique it is. In ... Show more content on
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You state a dislike of calculus for purely scientific use outside of simply studying its laws and
functions; there is also a multitude of calculus founders who, in this novel, are shown to ally with
your assumed beliefs, also including Newton, despite his original usage of calculus application.
Philosophy in calculus, as I have perused in your perspective, is described as the study of
"...ultimate, eternal reality...", and that the mathematical world observes an aspect of the universe
"...quite independent of the world of senses..." In other words, as superseding our own
comprehension and laws outside of math. Combining your directly stated want of improving
advanced mathematical education, combined with your assumed and stated beliefs on the subject's
usage and definition, I wish to state your position on teaching your perspective. Math, as I assume
you see it, is a subject that is deeply rooted within human history, and has its own unique uses and
attributes; present education simply provides students with an understanding of using and applying
math. You wish to enrich the connotation of calculus, and share its rich history and meaning, while
also delving into the depth of the subject separate from what is scientific, giving calculus a new
meaning and niche in the future. You
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The Mathematics Of Mathematics Into Mathematics Education
Mathematics is a versatile and always changing subject as people research and theorize new ideas.
Calvin Clawson proclaimed that "the single most compelling reason to explore the world of
mathematics is that it is beautiful, and pondering its intriguing ideas is great fun" (2). To make this
subject easier to explore, teachers should be implementing the history of mathematics into
mathematics education. They should do so because of the numerous benefits that it would yield to
students and teachers. Po–Hung Liu stated that integrating history of mathematics into daily lessons
and such will help students and teachers by increasing the students' motivation to learn, help them to
develop positive feelings for math, help to develop students' ... Show more content on
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This issue is not contained exclusively in the United States' education system; it is a worldwide
problem that has effects on people all around the world. Implementing the history of mathematics
into all mathematics education will save millions of students from loathing mathematics without
really knowing what mathematics is truly about or where it came from.
Involving the history of mathematics in schools would prove to very beneficial, but there are not
many teachers today that are very well enlightened on the history of mathematics and how the
implementation of said topic can be beneficial. We cannot expect those teachers to be able to teach
our students about an area of mathematics that they have no to little knowledge in. A study by
Danielle Goodwin made a very interesting and relevant conclusion:
"There are significant relationships between what California high school public teachers know about
mathematics history and their beliefs about mathematics. Teachers with lower history scores are less
likely to believe that mathematics is a discipline for everyone and that mathematics shows cultural
differences. Teachers with low mathematics history scores are more likely to believe that
mathematics is a disjointed collection of facts, rules, and skills, and that everything important about
mathematics is already known" (87).
Having this kind of mindset as a teacher can be very detrimental to a student as it will discourage
them from further

Essay on Formal Lab Report Graphing Anaylsis
Angelina Mass–Valderrama
CHM1032 summer '12
Graphing and Estimating
Formal Lab Report
Introduction: Today scientists put acquired data into a form of a graph. This said graph is designed
to help make predictions and furthermore, study and understand the experiment and its contents at
hand. The Graphing and Estimating lab involves just that. The lab is designed to collect data from
several tests involving burn time of a candle.
Oxygen, O2, is a kind of gas. A lot of the air we breathe as human beings is oxygen. Which is good
since we need oxygen to stay alive. Oxygen is also a primary element in fire. Fire is a chemical
process. Three elements are needed for this process: oxygen, heat and fuel. Without one of those ...
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If the difference between the recorded times are more than 10%, add a third trial. Repeat these steps
with each size beaker. Calculate the average time for each beaker and record the data. The next step
of the lab exercise is determining the exact volume of the beakers used in the burn time experiment.
Fill a beaker to the top with water. Carefully pour the water from the beaker into a graduated
cylinder. Reading the meniscus, record the exact volume into a data sheet. Repeat this step with each
size beaker until all volumes are recorded into the data sheet. The final process of the Graphing and
Estimating lab is plotting the recorded data onto a graph. Using the data recorded for burn time, in
seconds, place the data on the vertical axis. Use the horizontal axis for the volume in milliliters.
With the data points plotted determine whether a straight line or a simple curve will best represent
the data. Now, obtain a jar and determine the volume. Fill the jar to the top with water. Carefully
pour the water into a graduated cylinder. Precisely record the data. Using the plotted data on the
graph and the simple curve or straight line to predict how long it would take for the flame to burn
out on the candle if it was covered with the jar that was just measured.
Results: (Data and calculations)
Figure 1.1 Stated Beaker Size (mL) | Actual Beaker Size (mL) | Burning Time–Trial 1 | Burning
Time–Trial 2 | Burning Time–Average | 600 | 628 | 28.3

Development of a Math Laboratory at the Professional...
RESEARCH PROJECT PROPOSAL TITLE OF THE PROJECT: DEVELOPMENT OF A MATH
LABORATORY AT THE PROFESSIONAL DEVELOPMENT SCHOOL Presented to the Faculty
Development Committee Dr. Sheila Mehigan Assistant Professor of Education March 11, 2002
RESEARCH PROJECT PROPOSAL TITLE OF THE PROJECT: DEVELOPMENT OF A MATH
LABORATORY AT THE PROFESSIONAL DEVELOPMENT SCHOOL {PDS} PROJECT
SUMMARY This project is being developed for the purpose of funding a math laboratory to be set
up during the 2002–2003 school year where preservice (college students) will work with at–risk K–
5 students at the Professional Development School (PDS) at Jackson Elementary School.
Professional Developments Schools (PDS) are public school settings in which a school district ...
The simultaneous co–product of this investigation is the potential to help at–risk K–5 students
develop their mathematical communication skills and math efficacy (Nicholls, Cobb, Wood, &
Yackel, 1990) through activity–based experiences. Project Plan This research study will be
completed with two parallel studies. The first study will focus on the preservice teachers enrolled in
a K–8 math methods course at Elmhurst College, EDU330 –– Math for Elementary and Middle
School Students. The second study will focus on the K–5 elementary students at Jackson
Elementary School participating in the math lab sessions. Jackson Elementary School is partnering
with the Education Department at Elmhurst College to form a Professional Development School
(PDS) and thus a collaborative relationship as well as vacant instructional space that provides a
unique opportunity for this project. In sum, the research project has two guiding goals ––
mathematical efficacy and communication. The first goal is to discern the changes in math self–
efficacy in both the K–5 students and preservice teachers. The second goal is to examine if the K–5
students and preservice teachers participating in a math lab, which is centered on reflective activities
and mathematics communication skills, improve as math communicators. Preservice teacher growth
and development in mathematical teaching efficacy

A Learner's Social Factors Affecting Mathematics Numeracy...
Personal interview a learner social factors affecting mathematics numeracy learning Introduction
Mathematics is a type of reasoning. Thinking mathematically includes thinking in a rational way,
developing and checking conjectures, understanding things, and forming and validating judgments,
reasoning, and conclusions. We show mathematical habits when we acknowledge and explain
patterns, build physical and theoretical models of sensations, develop sign systems to assist us stand
for, control, and review concepts, and create treatments to address issues (Battista, 1999). Current
nationwide examination outcomes offer continuing paperwork of the should enhance the concentrate
on enhancing student accomplishment in mathematics. The National Evaluation of Educational
Development (NAEP) just recently launched the 2005 mathematics ratings which mirrored student
accomplishment in the locations of dimension, geometry, information analysis, likelihood and
algebra. Country wide, just 30 % of 8th graders were considered competent. Although mirroring a
boost from previous evaluations, just 69 % of the 8th graders country wide showed a standard
abilities level on the NAEP evaluation (Olson, 2005). Social and Personal Factors Social elements––
Generalized Affective aspects Influence makes up beliefs, mindsets, and feelings; these 3 sites are
ranked in order of enhancing intensity and reducing security. Evans (2000) states "a considerable
measure of contract about the efficient

Characteristics Of A Positive Classroom Environment
Classroom Environment The environment of a classroom is the tone or atmosphere of the
educational setting (Shochet & Smith, 2014). This tone is mostly set by the teacher of the classroom,
but the students also play a role in the development of the environment. Characteristics of a positive
classroom environment include organizational, instructional, and interpersonal elements (MacSuga–
Gage, Simonsen, & Briere, 2012; Shochet & Smith, 2014; Spearman & Watt, 2013). The
organizational elements include all classroom management strategies and clarity of activities and
assignments in the classroom (MacSuga–Gage et al., 2012; Spearman &Watt, 2013). Next,
instructional elements include engaging and explicit instruction, support in activities, inclusion of
real world examples, and teacher feedback (MacSuga–Gage et al., 2012; Spearman &Watt, 2013).
Of these items, Spearman and Watt (2013) emphasized the inclusion of real world examples as an
intrinsic motivator for students, and the authors suggest that intrinsic motivation increases positive
self–efficacy. Gilbert, Musu–Gillette, Woolley, Karabenick, Strutchens, & Martin (2014) also found
that perception of environment increased motivation, which in turn increased scores on standardized
tests. Finally, interpersonal elements pertain to teacher–student and student–student relationships. It
is imperative that students have a perception of emotional support in the classroom as this is related
to high academic performance and social

Reflection Essay
Introduction For the last ten years, I have taught third grade. Though mathematics is just one of the
many areas of discipline I am responsible for to teach my students, it is definitely the hardest
curriculum for my students to both understand and master. With both formative and summative
assessments, including the annual state standardized assessments, it seems as if every year my
students are struggling more and more with understanding and applying mathematical concepts.
This is also evident with an increasing number of mathematic Academic Improvement Plans (AIPs)
that my students bring with them from second grade. This past year I have really focused my efforts
on trying to figure out what is causing this confusion and struggling. When I teach my students the
mathematic concepts, they appear to understand them fairly well. If the assignments focus on just
that one concept taught, then they complete their work for the most part accurately. However, when
multiple concepts are expected to be applied, such as in two–step word problems or a mixed review
sheet or test – especially one composed of just word problems – then my students historically fail
miserably. I began to ponder ways that I could help students better develop the abilities to solve
word problems. I considered questions such as are there better instructional strategies that I could
use? What activities would be most helpful for the students? Are there certain barriers that are
preventing my students from

Bal Gangadhar Tilak
Lokmanya Tilak was born at Chummakachu Lane (Ranjani Aaleea) in Chikhalgaon, Ratnagiri,
Maharashtra to a Chitpavan Brahmin family. His father, Mr.Gangadhar Tilak was a famous
schoolteacher and a Sanskrit scholar. Bal Gangadhar Tilak was a bright child and very good at
mathematics. The problems the teacher gave to work our on paper, Bal would do them mentally and
give the answer. He also had a sense of fairness and justice from very early age. He was very
independent minded and did not falter at expressing his opinions. One day the teacher came to class
and found peanut shells on the ground. "Who ate peanuts in the class and create this mess?" asked
the teacher. No one came forward. "Well, if no one wants to come forward, the whole class ... Show
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Tilak wrote a scathing article in his newspaper and quoted Gita "no blame could be attached to
anyone who killed an oppressor without any thought of reward". Following this, on 22 June, Rand
and another British officer Lt. Ayerst were shot and killed by the Chapekar brothers and their other
associates. Tilak was charged with incitement to murder and sentenced to 18 months' imprisonment.
When he emerged from prison, he was revered as a martyr and a national hero and adopted a new
slogan, "Swaraj (Self–Rule) is my birth right and I shall have it" with which he roused a sleeping
nation to action, making Indian people aware of their plight under a foreign rule. Eventually Tilak
was jailed by the British for his "seditious" writings. This imprisonment did not dampen Tilak's
enthusiasm and the fire of patriotism kindled by him began to burn more and more fiercely. By that
time he was the unquestioned leader of the Indians – the uncrowned king. Thus he was known as the
Tilak Maharaj and his many admirers also named him Lokmanya, which means "admired by the
people." But it's important to note that Lokmanya Tilak was not just a revolutionary, he was a great
scholar as well. Besides his radical political activities, Tilak was very much interested in Indian
history and culture. Because he was an Indian nationalist, Tilak was particularly interested in the
ancient sacred literature – The Vedas – as the earliest document of the Aryan Hindus and the oldest
writings in the

The Stata And Hlm Software
The HSLS data was collected through a stratified two stage sampling process. That is, 944 schools
(including public, private, and charter schools) were sampled in the first stage and in the second
stage 25, 206 students selected in 50 states in the District of Columbia (Ingels et al., 2011, 2014).
There were approximately 27 students selected per school. To cater for the complex sampling, the
data include weights (students weights, parent weights, teacher weights, counselor weights, and
school weights) that should be used to account for the sampling and non–response at the two stages
of the data collecting process. For these reasons STATA and HLM software will be used in the data
analysis process because these software can be used with weights and correction of standard error.
The HSLS has missing data that has been cleaned and the analysis process made easier because the
data includes variables in which imputation methods (weighted sequential hot–deck [WSHD] were
used to replace the missing data (see Ingels et al., 2011, 2014). To answer the first research question
that examines the trends in (i) algebra achievement, (ii) OTL across the three time points analysis
using descriptive statistics to compare differences by race, location, States, SES, and school type
will be used and presented using a combination of line graphs and histograms. The algebra
achievement used will be the probability of proficiency scores, which is criterion referenced, to
show the gains in

Common Core Case Study
FIGURE 4 APPROXIMATELY HERE In contrast, non–district brokers demonstrated a pattern of
interactions that suggests they both influenced the content of information in the network and
activated their social capital to support the planning and delivery of mathematics PD. In contrast to
district brokers, brokers based in other sectors most often shared information and resources,
comprising an average of 59% of their interactions. Critically, when accessing or sharing
information, non–district brokers discussed substantive topics related mathematics and the Common
Core. On average, the plurality of accessing interactions (49%) and sharing interactions (41%)
involved information on a specific topic. For logistical information, those averages ... Show more
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César, for example, was frequently approached to share information on the Common Core. César
served as the director of a mathematics center in a university–based non–profit. A provider
described why she went to him for advice: Because in Valley County we have quite a range of
languages, and one of the concerns that's coming up often as we continue to work with teachers
around Common Core is language. César has done some wonderful work with that and his
colleagues in his network. That's one of the reasons why I reached out to César. Other providers
echoed this: César has quite a bit of expertise and some very specific expertise around language and
mathematics. We use strategies that he introduced to us, so he's the one to turn to when we want to
go deeper about something or have a question about it. Oh, yeah. César's math content, his
understanding of standards, his understanding of working with large groups of people, thinking
systematically but also as a learning community, and also his contacts. He's been a huge resource for
us. The plurality of César's accessing and sharing interactions involved substantive information, at
44% and 48%, respectively. Stephen also shared a great deal of substantive information. About 70%
of his accessing interactions and

Assessing Conceptual Understanding of Rational Numbers Essay
Assessing Conceptual Understanding of Rational Numbers and Constructing a Model of the
Interrelated Skills and Concepts
Students continue to struggle to understand rational numbers. We need a system for identifying
students' strengths and weaknesses dealing with rational numbers in order to jump the hurdles that
impede instruction. We need a model for describing learning behavior related to rational numbers –
prerequisite skills and development of rational number sense – that is dynamic and allows for
continuous growth and change. It would inform us of the important background knowledge that
students bring with them and the prior experiences that influence their level of understanding. It
would further enable us to assess students' ... Show more content on Helpwriting.net ...
What is being suggested is to bring it all together in a practical way. Briefly highlighting various
assessments and reports that have identified and highlighted the importance of conceptual
understanding enables one to trace back to the "hatching" of the idea. In addition, outlining the
course that got us to where we are today, trying to determine what it means to understand something
and how understanding can be assessed assists us in continuing that course of action in the right
direction.
In 1980, recommendations were made by the National Council of Teachers of Mathematics for
reforming mathematics instruction in An Agenda for Action. These recommendations were based on
results of the second National Assessment of Educational Progress (NAEP) and on data collected by
the National Science Foundation (NSF) largely from a study called "Priorities in School
Mathematics" (PRISM). Specifically in the area of fractions, NAEP contended that students'
inability to compute with fractions was the result of dependence on rote memorization of algorithms
and a focus strictly on routine problems. Among eight recommendations, An Agenda for Action
called for problem solving to be the focus of school mathematics in the 80's and basic skills in
mathematics to be more than computational fluency. The fourth NAEP showed improvement, but
indicated that mathematics instruction still lacked depth,

Math in Special Education Essay
There's no denying that education is constantly changing, but what's truly astounding is the
difference that can be throughout the years in math. More is changing in math classrooms than the
tools that are used. The expectations that 21st century students face are completely transforming the
approach that's being taken in classrooms across America. The United States wants to make sure its
students are ready to compete on a global level, and teachers are stepping up to the plate. The
National Council of Teachers of Mathematics (NCTM) has led the movement for education reform
in mathematics. The NCTM began in the mid–1970's and was a public voice of mathematics
education that supported teachers, and tried to ensure learning of the ... Show more content on
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Students need to understand the reasoning behind the way math works, these standards put this into
practice. A second groundbreaking document released by the National Council of Teachers
Mathematics was Professional Standards for Teaching Mathematics. This set of standards
"present[s] a vision of what teaching should entail to support the changes in curriculum set out in the
Curriculum and Evaluation Standards. This document spells out what teachers need to know to teach
toward new goals for mathematics education and how teaching should be evaluated for the purpose
of improvement" (Burris). It was essential for this change because it changed how mathematics was
taught. Teachers now had new goals and had different processes of evaluation, which in the end,
resulted in a greater improvement for themselves, and also great academic achievement for students.
"The NCTM followed with the 1995 release of Assessment Standards for Teaching Mathematics.
NCTM produced this important document because new assessment strategies and practices needed
to be developed that will enable teachers and others to assess students' performance in a manner that
reflects the NCTM reform vision for school mathematics" (Burris). This allowed teachers to give
better assessments to their students, which led to them being able to better asses themselves. It was
easier for them to know what they

Simulation of a Bank Queue
Contents Problem Definition and Goals 3 About the Bank 3 Logical Model 4 Data Gathering and
Analysis 6 Arena Model Implementation 18 Step by Step implementation 18 Time Logic 18 Cutoff
Logic 18 Verification and Validation 19 Prediction Function / Conclusion 23 Appendices 27
Appendix 1 : side Results 27 Problem Definition and Goals The purpose of this simulation to obtain
important parameters of a bank queue, including bank information, queue length, waiting time in
queue and expected wait time of customers in a bank. To obtain the appropriate function for
predicting the queue waiting time we need a large numbers of observations. To obtain this data
without the need to collect them directly, we simulate the bank work flow and ... Show more content
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To guarantee our result we draw the distribution diagram of service time and number of people in
the queue. The scattered diagram shows that we have different patterns of the distribution in
different queue lines which supports our result. Next to determine if servers give service with the
same distribution, we use Kruskal Wallis test again, we choose three different servers and do the test
again. Kruskal–Wallis Test: service times versus server Kruskal–Wallis Test on service times server
N Median Ave Rank Z 3 19 6.000 50.6 –0.07 4 24 7.500 54.3 0.64 6 7 5.000 42.3 –0.82 7 30 5.500
45.0 –1.34 8 21 8.000 59.0 1.41 Overall 101 51.0 H = 3.78 DF = 4 P = 0.437 H = 3.81 DF = 4 P =
0.432 (adjusted for ties) The p–value shows that there is no significant difference between the
service times offered by the servers. For now we know that there is no significant between the
service time in different days and service time offered by different servers so we choose two
different days we check these data altogether. The p–value that we have for the mixture doesn't

Teaching That Engages A Broad Range Of Learners
Teaching that Engages a Broad Range of Learners Rousseau and Powell (2005) contend that there is
a significant difference in the way teachers respond to reform efforts within context, particularly
with students in urban and high–poverty areas. They found teachers with high proportions of African
American and Hispanic students were more likely to focus on low level skills and less likely to
engage in problem solving and reasoning (Rousseau & Powell, 2005). Furthermore, Lewis (2007)
contends that "when teachers deliberately change their belief systems, along with the practices and
general culture under which they teach minority children, these children show achievement gains (p.
344). One of the main arguments of Lewis' (2007) research is that the high–skills vision in the
United States is impeded by inequalities among minorities, especially African American and
Hispanics students. According to Hand (2012), teachers can become powerful agents to improve the
inequities within classrooms for students. This research indicated that when classroom instruction
supported wide students' participation, students seemed to feel comfortable engaging in
mathematical dialogue with each other and the teacher (Hand, 2012). When teachers' engage a wide
range of learners, they essentially are inviting students to "take up space" in the mathematics
classroom instruction (Hand, 2012, p. 238). In addition, Hand (2012) identified three key features
present in classroom environments

Lorex Pharmaceuticals Essay
Cougar Consulting
Memo
To: Carter Blakely
From: Charles Johnson of Cougar Consulting
Date: 3/15/2011
–––––––––––––––––––––––––––––––––––––––––––––––––
Re: Fill Rate for 10 ounce bottles of Linatol
Introduction
Lorex Pharmaceuticals recently gained FDA approval to market and sell a new product called
Linatol. This memo will address the need to select a target amount to which each 10–ounce bottle of
Linatol will be filled. The analysis of several target fill rates was conducted to determine the one
that maximizes the contribution per case, therefore generating the maximum revenue for Lorex
Pharmaceuticals. This ideal fill rate will allow more bottles to be sold at the full retail price of $186
and limit the under filled ... Show more content on Helpwriting.net ...
For each target fill rate the proportion of bottles filled correctly had to be determined. This
calculation provides a breakdown between cases that can be sold for the full amount of $186 and
cases that are designated as seconds, which are sold for 80% of the full price or $148.80. Revenue
per case grows continuously as the target fill rate increases. From the blending costs which include
$67,662 of active ingredient per 5000 liters, and blending labor of $432 per 5000 liter batch the cost
per ounce of medication is approximately $0.40. This provides input for the active ingredient cost.
Based on the labor cost of $8.50 per hour at 12 cases per hour, the input for rework cost per case is
approximately $0.70 per case. Contribution per case is derived from the revenue minus the costs.
The contribution per case is the performance criteria that our decision is based upon. Results
A balance between revenue and cost is seen at a target fill rate of 10.4 ounces per bottle. The
revenue per case is greater when the bottles are filled to 10.5 ounces; however the resulting increase
in the active ingredient cost produces a lower contribution per case. The recommendation is to use a
target fill rate of 10.4 ounces per bottle. Initially there will be an increased cost of active ingredients
but in the long

The Development Of Mathematics Changes And Grows Continually
Assessment 1A Maths
The development of mathematics changes and grows continually. Teachers are finding new ways
and strategies to keep up with learning and having a broader view on the ways chidren learn and
develop. Their are many views of which theories are best suited in teaching mathematics, different
age groups are better suited to different theories.Constructivism is a theory which has become a
challenge in teaching mathematics with learning how to develop models of teaching that build on,
and are consistent with, this theoretical perspective. Small–group interaction, nonroutine problem
solving, and manipulative materials can be valuable tools in the hands of mathematics
teachers.Theoretically based frameworks for teaching mathematics in a constructive way allow the
potential to guide the use of these tools. A teacher can help students to develop new, more powerful
mathematical concepts using the constructivism theory.
Novice teachers who want their students to "construct" a particular idea, often ask for the idea from
their students, consciously or unconsciously hoping that at least one student will be able to explain it
to the others (Simon, 1991 ).
The constructivism approach does not deal with a particular question or concept for example, if a
group of students do not have a particular concept, how does a teacher work with them to foster
their development of that concept?
Constructivist theory is one perspective that works within a framework that helps build and

What Is Pedagogical Content Knowledge
pedagogical content knowledge is the transformation of subject matter, pedagogical, and contextual
knowledge into a unique form, which is called the transformative model. The transformative model
implies that these initial knowledge bases are inextricably combined into a new form of knowledge,
pedagogical content knowledge, in which the parent domain may be discovered only through
complicated analysis. The resulting amalgam is more interesting and powerful than its constituent
parts (Gess– Newsome, 1990).
In the integrative model, in contrast, pedagogical content knowledge does not exist as a domain of
knowledge and can be most readily explained by the intersection (Gess–Newsome, 1990) of the
subject matter, pedagogical, and contextual knowledge. ... Show more content on Helpwriting.net ...
First, pedagogical content knowledge is knowledge for teaching (Ball, 2008). Second, I conclude
that pedagogical content knowledge is knowledge for teaching that is a transformation of knowledge
of subject matter, knowledge of students' understanding, and knowledge of pedagogy or
instructional strategies. Of these three kinds of knowledge, knowledge of subject matter is likely the
most significant constituent. For example, mathematics teachers need to know mathematics in a way
that makes them able to teach mathematics conceptually as well as procedurally. Without a profound
understanding of mathematics, mathematics teachers cannot help their students understand a
mathematical concept by providing appropriate representations of it. What is more, only when
mathematics teachers understand mathematics deeply are they capable of using and adapting their
knowledge flexibly according to the needs of their students. Knowledge of mathematics enables
mathematics teachers to provide ideas of how to present a mathematical concept in a particular way
and to explain why representations would be

Ebsilon Professional
EBSILON®Professional The Planning Tool for the Power Plant Process www.steag–
energyservices.com EBSILON®Professional – The Planning Tool for the Power Plant Process
EBSILON®Professional is a simulation system for thermodynamic cycle processes that is used for
plant planning, design and optimization. Maximize the benefits of repowering and retrofitting
measures by simulating them in EBSILON®Professional. Design a performance–optimized plant
for your application scenario by introducing specific parameters into the model. Calculate the effects
of component degradation, various load cases and changes in environmental conditions. Simulate
the operation of newly developed components in a cycle. 2 Precise planning is the basis for a ...
G G G G The component library of EBSILON®Professional contains components both for all
typical power plant processes and for specific applications like desalination plants, solar power
plants, chiller or fuel cell applications. The components are adjusted to the actual performance
behavior by means of parameters and characteristics. The modeling options can be expanded as
required with the help of programmable components. G G G G Logic components: controllers signal
transformers calculation modules efficiency meters etc. G G G G Continuous maintenance and
further development of the component library ensure that at all times the latest technical applications
can be modeled in EBSILON®Professional. G Individual components: Kernel scripting DLL–
programmable component G G 8 Processes in T,s–Diagram Report in MS Excel Display and
Analysis of Results EBSILON®Professional offers numerous ways to display the results of the
simulations. These include text fields and value crosses for displaying the results in the model as
well as the representation of the processes in state diagrams. Export to MS Excel allows to further
process the simulation results easily. G G G G G Value crosses, text and alarm fields in the model
Simulation reports in MS Excel State diagrams: q,T; h,s; h, xi; T,s; log(p),h Convergence and

Compilation of Mathematicians and Their Contributions
I. Greek Mathematicians
Thales of Miletus
Birthdate: 624 B.C.
Died: 547–546 B. C.
Nationality: Greek
Title: Regarded as "Father of Science"
Contributions: * He is credited with the first use of deductive reasoning applied to geometry. *
Discovery that a circle is bisected by its diameter, that the base angles of an isosceles triangle are
equal and that vertical angles are equal. * Accredited with foundation of the Ionian school of
Mathematics that was a centre of learning and research. * Thales theorems used in Geometry:
1. The pairs of opposite angles formed by two intersecting lines are equal. 2. The base angles of an
isosceles triangle are equal. 3. The sum of the angles in a triangle is 180°. 4. An angle ... Show more
The attribution is held to be anachronistic however by J J O'Connor and E F Robertson who name
Theon of Alexandria as a more likely author. 4. Phaenomena, a treatise on spherical astronomy,
survives in Greek; it is quite similar to On the Moving Sphere by Autolycus of Pitane, who
flourished around 310 BC.
* Famous five postulates of Euclid as mentioned in his book Elements
1. Point is that which has no part. 2. Line is a breadthless length. 3. The extremities of lines are
points. 4. A straight line lies equally with respect to the points on itself. 5. One can draw a straight
line from any point to any point.
* The Elements also include the following five "common notions": 1. Things that are equal to the
same thing are also equal to one another (Transitive property of equality). 2. If equals are added to
equals, then the wholes are equal. 3. If equals are subtracted from equals, then the remainders are
equal. 4. Things that coincide with one another equal one another (Reflexive Property). 5. The
whole is greater than the part.
Plato

Birthdate: 424/423 B.C.
Died: 348/347 B.C.
Nationality: Greek
Contributions: * He helped to distinguish between pure and applied mathematics by widening the
gap between "arithmetic", now called number theory and "logistic", now called arithmetic. *
Founder of the Academy in Athens, the first institution of higher learning in the

National Curriculum Paper
Introduction:
Undeniably, the implementation of a national curriculum will have a significant impact on the
Australian education system. Therefore, my understanding of this educational reform and the
contention arising from this national curriculum will form the basis of this paper. The paper will also
discuss how I will navigate the implemented policies while remaining authentic in my teaching
values and practices. Moreover, this will be done by establishing my understanding of the
curriculum in the educational context before responding to two literary quotes.
In the broadest sense curriculum refers to all courses offered at a school; however, this definition is
ineffective without consideration beyond statements about the content or the ... Show more content
on Helpwriting.net ...
The mathematics curriculum is organised around the interaction of three content strands and four
proficiency strands. The content strands form framework of the intended curriculum (number and
algebra, measurement and geometry, and statistics and probability). Whereas the proficiency strands
form the basis of the enacted curriculum (understanding, fluency, problem solving and reasoning).
My intent is to create an effective learning environment where students develop solid mathematical
content knowledge and skills that are relevant to their specific needs. I believe mathematical
discussion is paramount in the development of understanding and will actively encourage open
discussion of mathematical

Nonlinear Dynamics And Its Effect On The Performance Of...
Abstract– Nonlinear behavior is a common feature of all real word systems. However for the sake of
simplicity, a linear model is often used in the controller design procedure. However, neglected
nonlinear dynamics might decrease the performance of controller drastically. In this paper, a new
method for designing MPC controllers in state space is proposed for a class of nonlinear processes.
In the proposed method, first an MPC controller is designed in state space based on a linear model
and then, it is modified using Modal Series to compensate the effect of neglected nonlinear
dynamics. At the end, the proposed method is applied to control two real systems and the results are
discussed. Index Terms– Modal Series, Nonlinear, Predictive Control. B INTRODUCTION
ECAUSE of high performance and simplicity, MPC controllers have extended their application in
various industries [1]. These controllers share following essential ideas [2]. Predicting process future
behavior using a model. Optimizing this behavior by determining future inputs. Applying
determined input and repeating this procedure in next sampling period of time. First of all, an
appropriate model of under control system should be acquired in predictive control, which is called
predictive model. This model should be capable of predicting system's behavior to provide the
designer with required outputs in prediction horizon k using system's information till the moment t.
In mathematic words, it should be able to

Benefits Of Studying And Learning Mathematics Essay
The benefits of studying and learning mathematics have been the source of much research and
debate. Recently, Michigan State University and Wayne State University have chosen to drop
algebra from their general education requirements (Joselow, 2016). These two university decisions
seem to conflict with the numbers of students who test into developmental mathematics every year.
In a 2015 article written by Judith Keller, she stated that "... 60% of community college students
require at least one developmental mathematics course..." (p. 4). Deficiencies in math skills occur
for a variety of reasons. Today, more than 50% of all college students are over the age of 24 (Center,
2016) and need to improve or change their job skills. Those same students may never have had a
college preparatory course. Many veterans returning to civilian life did not complete algebra 2 or
higher in high school (Molina & Morse, 2015). Finding new ways to help students brush up on their
basic math skills, while getting them ready for either a STEM or non–STEM related field, means
more math departments need to move past the traditional lecture method of teaching to reach these
diverse students through online and emporium styles of teaching.
Statement of the Problem
As the number of students taking courses at community colleges and universities across the country
grows, the need to accelerate the process to improve college retention and graduation rates has also
grown. In a study by Bailey and

Women in the Math World Essay
Women in the Math World
Works Cited Not Included Math is commonly known as the man's major. Many college math
professors are men and the same goes for their students. "One study revealed that women accounted
for 15% of students in computer science, 16% in electrical engineering,. . . Gender splits in the
faculty were similar" (Cukier). There are few women that have made an impact on the math society
compared with the number of men. A person can ramble off names such as Isaac Newton, Albert
Einstein, Pythagoras of Samos, and Jean–François Niceron. Where are the women mathematicians?
This paper will examine the lives of women that have made an impact on the world of ... Show more
In 1825, she began an experiment on magnetism that lead to a her paper entitled 'The Magnetic
Properties of the Violet Rays of the Solar Spectrum'. The paper was presented in front of the Royal
Society, where she became the first women to present to the Royal Society. This paper was later
disproved however it was a starting point for her career in mathematics and for women in the field.
In 1827, she started what would become her most successful study. Lord Brougham convinced her
to "write a popularized rendition of Laplace's Mecanique celeste and Newton's Principia" (Cite). The
paper was publised as 'The Mechanism of the Heavens'. Her paper was so successful, "a portrait bust
of her was commisioned by her admirers in the Royal Society and placed in their great hall" (Cite).
She went on to write many more books on mathematics which earned her election to the Royal
Astronomical Society as the first women. Mary Fairfax Somerville lead the pathway for women in
the man's world.
Maria Gaetana Agnesi was destined for a life in mathematics, being born on May 16, 1718 to a
professor of mathematics. "She was recognized as a child prodigy very early; spoke French by the
age of five; and had mastered Latin, Greek, Hebrew, and several modern languages by the age of
nine. At her teens, Maria mastered mathematics" (Cite). Her days of a child were

Standards-Based Mathematics Reform
The current educational scene has loads of high expectations based on local, state, and national
standards and policy. Progressively, policymakers, administrators, and general society expect
teachers to teach children to high standards, paying little attention to students' background or
socioeconomic status. With data pouring in from local, state, national, and global assessments,
comparisons between schools, districts, states, and nations lead much higher expectations (Klein et
al., 2005).Furthermore, the writing comprehensively sees teacher quality as a champion among the
essential factors in student learning (Loucks–Horsley et al., 2010; Wei, Darling–Hammond,
Adamson, 2010), many elementary teachers find themselves inadequately prepared ... Show more
The quantity of content–based workshops and courses has expanded over the previous decade. Be
that as it may, opportunities for teachers to work cooperatively through exercises, such as observing
and providing feedback to each other, cooperating on lesson planning, and investing a lot of time
and energy increasing their content and craft (more prominent than 50 hours) have diminished
significantly (Darling–Hammond et al., 2009). This literature review concentrates on teacher
professional development as it relates to mathematics and the impact professional development has
on classroom instruction. It starts with an examination of the literature on the standards–based
mathematics movements of which the Common Core State Standards for Mathematics (CCSSM)
came alive. Next, it discusses the literature on mathematical knowledge for teaching; it identifies
some of the research or lack thereof, impact of professional development on teacher knowledge,
classroom practice, and student

Mathematical Modeling of Urban Population Changes Essay
Mathematical Modeling of Urban Population Changes
Background of Issue
The growth of population is the issue that caused widespread concern in the world now. As the
world's top 1 populous country, China's population problem becoming more prominent. Because of
the base of large population, although China has implemented the one–child policy to practice
family planning, population is still increasing greatly. This huge population pressure has brought a
series of problems on China's social, political, economic, health, employment, etc. therefore,
research and solve the population problem is particularity important for China. [3]Usually people
will notice that in newspapers about population growth forecast, when it comes to the end of this ...
[1]
|Year |1988 |1989 |
| | | (million) | difference |
|1992 | 1158.23 | 1156.16 | 2.07 |
|1993 | 1171.71 | 1169.14 | 2.57 |
|1994 | 1185.17 | 1182.26 | 2.91 |
|1995 | 1198.50 | 1195.53 | 2.97 |
|1996 | 1211.21 | 1208.94 | 2.27 |
|1997 | 1223.89 | 1222.51 | 1.38 |
|1998 | 1236.26 | 1236.23 | 0.03 |
Implication of the results
As the natural population growth rate for these years is 0.01116 at average, this modeling reflects
the actual situation well. According to the forecast, until 2016 China's

Psyched About STEM
Psyched about STEM
Science, Technology, Engineering and Mathematics otherwise known as STEM, provides the new
wave of academic excellence for students of the 21st century. It is an exciting time to be scholar.
STEM students enjoy a rigorous cross–curricular education that allows them to undertake
competitive coursework placing them on their own playing field.
STEM focuses on Biomedical Science, Engineering, and Computer Science pathways for a cross–
curricular approach. Students come together to collaborate on projects, and to listen to speakers
from various fields. Many also have the opportunity to travel abroad and partnership with
prestigious universities. STEM students enjoy a small cohort that begins in their freshmen year of

Cmis102 Assignment 1 Essay
CMIS102 Homework Assignment 1 (Worth 13% of your grade)
Problem definition: Calculate the usable area in square feet of house. Assume that the house has a
maximum of four rooms, and that each room is rectangular. A. Problem Analysis – Following the
directions in the assignment, clearly write up your problem analysis in this section.
This program will compute the area of a house that has four rectangular rooms. Output is the value
of the total area (total_area) of the house and is to be calculated by area/length/width input (A1, A2,
A3, A4, L1, L2, L3, L4, W1, W2, W3, and W4) variables declared as float variables. The program
will utilize the standard mathematical formula of obtaining area of a rectangle: A = L*W. As well,
the ... Show more content on Helpwriting.net ...
The design of the modular program will be created in Raptor and the design will look like this:
Main module:
Comment: "This program computes the total area of a four bedroom house in square footage.
Call Input_Data_module
Call Calculations_module
Call Output_Data_module
End
Input_Data_Module:
Write "Length of first room" (L1)
Write "Width of first room" (W1)
Write "Length of second room" (L2)
Write "Width of second room" (W2)
Write "Length of third room" (L3)
Write "Width of third room" (W3)
Write "Length of fourth room" (L4)
Write "Width of fourth room" (W4)
Call Calculations_module
End
Perform Calculations module:
Declare A1, A2, A3, and A4; as float
Set A1 = L1*W1
Set A2 = L2*W2
Set A3 = L3*W3
Set A4 = L4*W4
Set total_area = (A1+A2+A3+A4)

An Associate Professor Of Mathematics At Southwestern...
Kyriakos Kypriotakis
NEH Summer Institute 2016 Presupposition and Perception: Reasoning, Ethics, Politics, and
Aesthetics
Application Essay
Born and raised in Crete, Greece, I am an Associate Professor of Mathematics at Southwestern
Oregon Community College. Before working for Southwestern, I was a graduate student at the
University of California at Irvine, where I earned a doctoral degree under the supervision of Dr.
Martin Zeman. While living in Greece, I earned a Master's degree in Logic, Algorithms and
Computation from University of Athens.
As a tenured faculty member at Southwestern my workload is based on a combination of teaching
and service to the institution. Currently, I am the chair of the Faculty Senate, and serve in Achieving
the Dream Committee on Student Success (co–chair), the College Data Team (chair), and organize
the student Chess Club. Also, I advise about 25 students every quarter. As an advisor, I will work
with the student to assist her/him to identify their academic values and goals, clarify academic
policies, college regulations, and program requirements.
My purpose of teaching mathematics is to heighten ones math–knowledge, and increase his/her skill
in thought and reasoning. To transmit the sense of joy and excitement I find in learning and applying
mathematics, enable students to understand information around us, and prepare them for further
studies in math and science.
My teaching experience has been long and varied. I have taught

Mathematical Connection Essay
Mathematical Connection Mathematics has had an incredible impact on technology as we know it
today. Understanding this impact aids in understanding the history of how technology has developed
so thoroughly and what significant events happened to facilitate such an advanced society. A better
understanding can be derived by analyzing the historical background on the mathematicians, the
time periods, and the contributions that affected their society and modern society as well as specific
examples of how the mathematical developments affected society. Math had and has a great impact
in technology. During the 20th century mathematics made very quick advances on all fronts.
Mathematics sped up the development of symbolic logic as the ... Show more content on
Helpwriting.net ...
John Von Neumann –(1903–1957) was born in Hungary and studied in Switzerland, Budapest and
Berlin. In 1930 he immigrated to the United States to teach at Princeton University. Neumann
contributions were his development of the game theory as a new branch in mathematics. He is also
known for his contributions to the theory and design of electronic computers.
Alan Turing – (1912–1954) A British mathematician educated at Cambridge and Princeton
universities. He introduced the concept of a theoretical computing device when his published the
paper named "On Computable Numbers" in 1936. Turing was a pioneer working in computer
theory; he expanded his research studying artificial intelligence and biological forms.
Gottfried Wilhelm von Leibniz – Gottfried Leibniz was born on July 1, 1646 in Leipzig, Saxony
Germany. He died November 14 1716 in Hannover, Hanover Germany. In the seventy years that he
lived he, he has accomplished many things as a mathematician, philosopher, scientist, engineer,
lawyer, moralist, theologian, philologist, and sinophile. As a philosopher, Leibniz wrote the
Théodicée in 1710. As a scientist and engineer, his writings are included in Gerhardt's Mathematical
Writings. Leibniz

Essay on Chaos Theory Explained
Chaos Theory Explained "Traditionally, scientists have looked for the simplest view of the world
around us. Now, mathematics and computer powers have produced a theory that helps researchers to
understand the complexities of nature. The theory of chaos touches all disciplines." –Ian Percival,
The Essence of Chaos Part I: The Basics of Chaos. Watch a leaf flow down stream; watch its
behavior within the water... Perhaps it will sit upon the surface, gently twirling along with the
current, dancing around eddies, slightly spinning, then all of a sudden, it slaps into a rock or gets
sucked beneath the water by a small whirlpool. After doing this enough times one will realize it is
nearly impossible to accurately ... Show more content on Helpwriting.net ...
In the last years of the 19th century French mathematician, physicist and philosopher Henri
Poincare' stumbled headlong into chaos with a realization that the reductionism method may be
illusory in nature. He was studying his chosen field at the time; a field he called 'the mathematics of
closed systems' the epitome of Newtonian physics. A Closed system is one made up of just a few
interacting bodies sealed off from outside contamination. According to classical physics, such
systems are perfectly orderly and predictable. A simple pendulum in a vacuum, free of friction and
air resistance will conserve its energy. The pendulum will swing back and forth for all eternity. It
will not be subject to the dissipation of entropy, which eats its way into systems by causing them to
give up their energy to the surrounding environment. Classical scientists were convinced that any
randomness and chaos disturbing a system such as a pendulum in a vacuum or the revolving planets
could only come from outside chance contingencies. Barring those, pendulum and planets must
continue forever, unvarying in their courses.2 It was this comfortable picture of nature that Poincare'
blew apart when he attempted to determine The stability of our solar system... For a system
containing only two bodies, such as the sun and

Leadership in the Mathematics Department
LEADERSHIP IN THE MATHEMATIC DEPARTMENT Executive Summary Probably leadership
is the only topic that has received most of the management researcher's attention in the past four
decades. This subject remains the most talked about topic year after years in management training
and development, revealing the fact that leader are still seeking the secrets concerning effective
leadership. "Leadership is the ability to influence, motivate, and enable others to contribute to the
effectiveness and success of the organizations of which they are members". Leaders convey a future
booming vision of the organization and assist employees revolve that idea into reality. The
personality traits of a good leader have a somewhat diverse focus. It is mainly concerned with the
leader's attitude towards the team. Team leadership signifies a third attribute of effective team
performance. The majority teams contain certain individuals who are chiefly responsible for
defining team objectives and for developing and structuring the team to achieve these missions
(Zaccaro et al 2001). Therefore, considerate qualities are a significant element of the personality
traits of a good leader. Leaders need to be faithful and sincere. They should be able to care about
their workers on both a personal and professional level. A leader has to develop diverse response in
order to cope with the issues of management. Introduction In the modern framework of more
independent schools, amplified attention on

Classroom Research Outline
An Outline of the Current Research Regarding Textbook Use in the Classroom.
Author: Noel Bamford, Federation University
Textbooks have been an essential tool for the teaching of Mathematics and Science subjects at the
secondary level for many decades. The role of a textbook in the classroom is a complex one, not
only do they provide a teacher with a large bank of problems and exercises for students to complete,
they often serve as a general teaching guide on a subject wide level, as well as for specific topics
within a subject. The purpose of this essay is to provide a brief overview of the current research into
the role of textbooks in the classroom, as well as the use of textbooks in the classroom by both
teachers and students.
The use of textbooks in the classroom, like with any tool, differs from teacher to teacher. Some
teachers rely heavily on textbooks for lesson structure and for long term planning, where others use
textbooks less frequently and with much less reliance. A study by Pepin, Haggarty and Keynes
concluded that "textbooks were used for three kinds of a activities: for teaching in order to lay down
... Show more content on Helpwriting.net ...
For this reason there is, by necessity, a certain way in which mathematical knowledge is represented.
Meany and Flett assert "Mathematical texts use language and diagrams in ways slightly different
from those used in other subjects. Part of learning to read mathematics involves learning the
common ways of presenting written materials, including diagrams such as graphs" (2006). It is
possible to argue that the need for a comprehensive and consistent resource, like a textbook, is more
important for mathematics than for other subjects. Textbooks can provide a comprehensive guide to
the language and symbolism of mathematics, and can also facilitate the application of that language
within an appropriate and logical

Why Is Mathematics Important For Mathematics?
There are huge illustrations that testify the presence of mathematics in everything that we are doing
and in nature all around us. It was that broad exposure that led me to write about the importance of
mathematics in our life. First, coming from a different country, and starting off with a different
cultural background while searching for college admission in the United States to pursuing my
personal academic interests. The road to success was not an easy path for me, but I succeeded in
obtaining my bachelor's degree in mathematics at Jersey City University. After obtaining my B.A., I
wanted to pursue my educational achievement to higher degree in Mathematics, but with work and a
growing family I had to postpone my dream for a few years. About a year and a half ago while
having a fruitful conversation with my brother on returning back school for higher learning in
mathematics, and he advised me to look into Piedmont College where its program is designed to
prepare students with similar interests as me. I immediately started to look into the program to sort
out courses that I need to take until the completion of the entire program. After the submission of
my application for admission to Piedmont College, I have received an acceptance letter from this
School to welcome me as an official graduated student to Piedmont College. This decision was one
of the best choices I have ever made. Last summer and early this year, I had the opportunity to take
two courses that will

The Great Railroad Strike Of 1877
Summary:
Crises, such as the great railroad strike of 1877, Homestead strike of 1892, Pullman strike of 1894,
and the depression of 1893–1894, were results from the rise of industrial capitalism. By 1900,
America produced one–third of the world's goods. Due to this, cities became polluted and
overcrowded, and became breeding grounds for diseases like typhoid and cholera. The working
situations were not much better, with unskilled industrial laboring class, child labor, low wages,
locked fire doors, and allowance of toxic fumes in the factories; many people were disgusted by the
way America's economy grew, while its people were left in poor health.
The middle and working classes were looked down upon by the wealthy capitalistic upper class.
Muckrakers shed light on the shady business dealings the capitalistic upper class dealt in, and the
corruption of politics. The society they showed made many Americans felt as though the
fundamental principles and promises were violated. This is how progressivism was formed; a way to
fix the broken society that many Americans now suffered in.
Progressivism arose in various places from 1890 to 1917. It had many different focuses ranging
from social justice emphasis to economic and political emphasis. There were three areas the
movement wanted to reform: efforts to make the government cleaner (less corrupt and more
democratic), attempts to ameliorate the effects of industrialization and efforts to rein in corporate
power.
Despite the

Paul Lockhart Essay
A mathematician lament as cited in Lockhart (2009) describes pedagogies and philosophy of
mathematics by Paul Lockhart. Paul Lockhart offers a strongly opinionated perspective that frames
teaching and learning as an 'imaginative pursuit' and attempts to debunk the relevance of linking
mathematics to real–world applications. This premise suggests that a more abstract approach to
teaching and learning would promote a greater appreciation of mathematics among students as they
would more actively be encouraged to solve problems by working through the trials and tribulations
of failure well before mathematical success. This ideology is argued against, as real–world
applications have been proven to raise a student's overall motivation and ability ... Show more
That the abstract nature of mathematics tends to lead students into thinking that mathematics is
difficult. In addition, that there is an over emphasis in pedagogy that relies on attempting to combat
some called math anxiety with the use of simple analogies to understand mathematical concepts.
However, real–world connections through the use of simple analogies have been proven to raise a
student's mathematical understanding of subject matter rather than hinder their learning (NSW
Education Standards Authority, 2007). Adams & Elliot (2009) suggest that using the analogy of
going up and down in a hill when interpreting distance time graphs. As the graph becomes steeper,
the gradient increases. When the graph flat–lines the gradient is said to be nil.For this very reason
analogies are believed to enable mathematical concepts to be conveyed in a form that student can
relate to, thus, increasing their understanding and confidence (Adams & Elliot, 2009).
Adams & Elliot (2012) conclude that many students express a fear of mathematics. Given that many
students potentially share a common fear of mathematics, reducing this and increasing confidence is
a vital part of teaching mathematics. Muijs & Reynolds (2011) as cited in Adams & Elliot (2012)
suggest that teachers can and should begin lessons or topics with realistic examples of real–world
situations

Management and National Service Training
| Taguig city univesity | | | | | Bachelor in science in computer science | | | | | Checklist | | | | Name: | |
Student no. | | | | | | Subject code | Subject description | Units | Grade | Instructor | | Semester 1 | | | |
Eng 111 | Effective reading, writing and listening skills/study and thinking skills | 3 | | | Fil 111 |
Sining ng pakikipagtalastasan | 3 | | | Math 111 | Basic math algebra | 3 | | | Com 111 | Basic computer
(i.t) | 3 | | | Soc. Sc 111 | General psychology | 3 | | | Cs 111 s1 | Logic formulation and introduction to
programming | 3 | | | Cs 111 s1 | Fundamental of typing and word processing | 1 | | | P.e 111 |
Introduction ... Show more content on Helpwriting.net ...
| | | | | | Subject Code | Subject Description | Units | Grade | Instructor | | Semester 1 | | | | Comm arts 1
| efecive reading, writing and listening skills/study and thinking skills | 3 | | | fil 1 | sining ng
pakikipagtalastasan | 3 | | | nat sci 1 | Pinciples of safety, hygiene and sanitation | 3 | | | Tc 1 | priciples
of tourism | 3 | | | lit 1 | survey o world and philippine literature | 3 | | | math 1 | business math | 3 | | |
nat sci 2 | environmental science | 3 | | | p.e 1 | introduction to physical activities | 2 | | | Nstp 1 |
national service training program I | 3 | | | | | | | | | Semester 2 | | | | comm arts 2 | Advanced language
skills in critical thinking and problem solving | 3 | | | fil 122 | pagbasa at pag sulat sa ibat bang
disiplina | 3 | | | logic | formal and informal theories | 3 | | | tc 2 | principles of tourism 2 | 3 | | | tc 3 |
culinary arts and sciences | 3 | | | comp 1 | business computer | 3 | | | hum 1 | appreciation of various
forms of arts | 3 | | | pe 2 | dance with music | 2 | | | nstp 2 | national service training proram II | 3 | | | |
Semester 3 | | | | tc 4 | total quality management | 3 | | | trm 1 | world tourism geography and culture |
3 | | | trm 2 | philippine

Math strategies for special education students Essay example
Special education students often lack the necessary mathematical skills needed to be independently
successful in the secondary classroom. These students face challenges in applying the basic math
skills needed as well as retaining basic math skills from grade level to grade level. Lack of
understanding, in addition to causing classroom difficulties, can cause other personal and social
dilemmas for the special education students. Lack of motivation, anger, lack of self value, and other
disruptive behaviors may occur as a result of the difficulties the special education students have in
the classroom. In order to help these students to overcome poor problem solving skills, effective
strategy based instruction is needed. Teachers ... Show more content on Helpwriting.net ...
2007). The NCTM agreed that reform was needed areas such as basic skills instruction and
instruction in problem solving (Bottge et al. 2007). Bottge, Kwon, LaRoque, Rueda, & Serlin (2007)
looked at the use of Enhanced Anchored Instruction (EAI) to help boost problem solving skills of
students with disabilities in the area of math. EAI immerses students directly in problems that are
delivered in a combination of multimedia and hands–on contexts (Bottge et al. 2007). EAI contains
three main parts, probing questions by the teachers to guide student understanding, students working
together in small groups to discuss and find solutions to problems, and explicit instruction on skills
and concepts by the teachers as the students need them. During this particular study of EAI on math
instruction, 100 students were divided into groups. One group received math instruction using EAI
methods while the other group received instruction using the teachers' typical methods. A pre–test
was administered to both groups to gain a baseline of math experience and knowledge. The math
instruction using the EAI method used a video anchor to enhance instruction. The use of technology
in EAI provides students with learning disabilities access to a wide range of math tasks that
previously were unattainable due to learning deficits (Maccini & Strickland, 2010). The video gave
students a visual representation of the types of math problems they were working

Outline Malthus’s Theory of Population and Access His...
Thomas Robert Malthus is widely regarded as the worlds first professional political economist. He
was born on 13th February 1766 to a wealthy English family and after being educated by his father
at home, he went on to study Mathematics at Jesus College, Cambridge and become the most well
known social scientist of the Nineteenth century. Through his life, Malthus wrote many books and
essays and his writings can be split into two periods. In the first period his writings dealt with the
unrest of labour and attempts to restructure society to promote the welfare of the worker. In the
second period from 1814 onwards, his writings dealt more with the corn laws and the problems
between the landlords and capitalists. This essay will explain ... Show more content on
Helpwriting.net ...
It was felt that there should be a national system of workhouses, with uniform rules and regulations
and a central authority in control. This would mean that there would be no advantage to the person
in moving from parish to parish. The commission adopted a principle of 'Less Eligibility" which
meant that the conditions of the workhouses should be worse than the conditions of the poorest 'free'
labourer. The commission also recommended 'The Workhouse Test' which meant that outdoor relief,
which was payment made to people living in their own homes would be abolished and that relief
would only be available in the workhouses,. It was felt that the reformed workhouses should be so
uninviting that you would only want to be in one if you could not cope with living in the outside
world. Finally, it was felt that the workhouses should not be mixed, but instead there should be
separate provisions for men and women. The Poor Law Amendment Act was implemented in 1834
yet it was felt that not all of the changes should be implemented straight away. The banning of
outdoor relief began only in the parishes were it was felt implementation would be easiest and was
not completely banned until 1840. Malthus felt that the old Poor Law was counter–productive,
demoralising and was actually causing more of a problem than it was trying to alleviate by
undermining the individuals incentive to work. He felt that the Poor Laws helped to continue to
grow society without

Haiti: A Case Study
Over a period of decades and several billion dollars of aid, Haiti remained in a dire state, with a very
bleak outlook as a fragile state. Reform conditions that accompanied the aid were oft short–sighted
and did not work to improving the situation – sometimes even doing harm, for example, failed trade
liberalization, which all but destroyed local rice farming (Phillips, E., Watson, D.D., II, 2011).
Focusing on the assembly sector and export markets had the undesirable effect of bringing many
from the rural areas into the city, the effects of which were serious overcrowding and resultant
slums, and the call for reduction of state employment rather than looking to expand its reach and
basic services outwards to better include rural areas (Mobekk, E., Spyrou, S.I., 2002). ... Show more
Privatization reform was demonstrated against by Haitian groups, and this political sensitivity
among the people to it went ignored by the IMF, even resulting in aid being withheld when
government took on board the concerns of the people. Many of these introduced problems could
have been avoided if a better understanding of the problem was achieved before policy made; and
then have those amenable to change according to the feedback of their

Modern Calculus Research Paper

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