## Maths

XTMPI offers the following Maths classes:

– A’ Level

– IGCSE

– Support for School

Let us assist you in finding the most appropriate class for you or your child.

XTMPI MATHS DEPARTMENT

What does it mean to succeed in mathematics? If we can answer that, then we can evaluate what math education should accomplish.

Some people hate mathematics because some other people taught them to hate mathematics. Don’t think, memorize! Don’t develop ideas, follow the procedures! Don’t examine real problems, do a set of uninspiring cookie-cutter formula problems – memorize the steps first. Don’t ask why, follow the rules! Disregard interesting asides, race for the top! How could anyone maintain their interests and intellect when treated this way? We have them race to the top – of what? Who defined calculus as the top? Who created all these rules anyway? Why do we have to learn them?

The XTMPI Maths Department is involved in true educational reform so we use the slogans above to help us evaluate our goals, to assist us in making your math experience a pleasant one. Here at XTMPI we are moving at the Speed of: ”Love Maths” and we are offering students the opportunity to select numerous combinations from the broad spectrum of Unitised Mathematics offered by examining boards of the United Kingdom.

More specifically we offer teaching for the following units:

IGCSE: 3H(Higher), 4H(Higher)

Core Mathematics: Units 1, 2, 3 and 4

Further Pure Mathematics: Units 1, 2

Statistics: Units 1, 2, 3, 4, 5 and 6

The above units can be used in a variety of combinations so that students can obtain up to three A levels.

Six of the above units are required for an A level award and three for an AS level award.

In order for two combinations of six units each to be considered as two separate A levels, they must not have units in common.

Leading the way internationally we have managed to create a programme to suit the individual needs of students, within the framework of the syllabus, consisting of the various units which make up up to three A levels in Mathematics. Typically:

For students requiring

• A Level Pure Mathematics:(Core Maths units 1, 2, 3 and 4, Further Pure 1 and 2)

This combination consists of core and advanced pure mathematics and is particularly valuable in all of the science fields as well as in all of the social sciences, Law and Economics.

For students requiring

• A Level Pure Mathematics: (Core Maths units 1, 2, 3 and 4, Further Pure 1 and 2) and

• A Level Statistics: (Statistics Units 1 up to 6)

A Level Statistics covers a wide spectrum of subjects in diverse fields of study such as Law, Linguistics, psychology, biology, physics, medicine etc. For students who have successfully passed the IGCSE Mathematics while in their third year of secondary school, we offer a two-year course for their fourth and fifth year and a one-year Statistics course in the fifth or sixth year. For students who have successfully passed the IGCSE Mathematics in the second year of secondary school, the programme will be completed a year earlier.

A typical route for a student would be to take the IGCSE Mathematics while in third year of secondary school and thereafter one of the above A Level courses.

IGCSE MATHEMATICS – EDEXCEL IGCSE-ONE YEAR SPECIFICATION-2 UNITS

The IGCSE in Mathematics is designed as a one-year course to meet the needs of students of all abilities. The specification requires candidates to demonstrate their knowledge, understanding and skills in the following: number and algebra, shape, trigonometry, space and measures and handling data. This qualification is equivalent to Edexcel’s UK GCSE in Mathematics and provides a solid basis for AS and Advanced GCE, or comparable qualifications

Follow the IGCSE in Mathematics that offers students the opportunity to build upon skills already learnt and develop many new mathematical concepts. On successful completion, students can choose to further their study by taking GCE AS and A levels or other equivalent qualifications. We suggest our students on starting the above course after completing Class 2 or Class 3 of Secondary School

GCE MATHEMATICS – EDEXCEL GCE-TWO YEAR SPECIFICATION-6 UNITS

A’Level in Mathematics

Mathematics is a highly regarded A Level which complements Science based subjects and offers a broad balance to arts based students. It requires a high degree of commitment in students after completing IGCSE in Mathematics and is of particular use to those thinking of higher education based in the sciences and engineering and not only. Students considering applying for a competitive degree and/or considering Oxbridge/LSE entry are strongly encouraged to take A-Level Mathematics. Recent studies have shown that those who have taken A-Level Mathematics increase their earning potential whatever their choice of degree. The specification allows greater flexibility and aims to create a positive learning environment, enabling teachers to adapt to students’ needs and help them fulfil their potential.

A – Level Pure Mathematics (Edexcel)

GCE STATITSICS – AQA GCE-TWO YEAR SPECIFICATION-6 UNITS

AS/ ALevel Statistics (AQA)

The AS and A Level Statistics qualifications may appeal to the student who wishes to pursue the study of a numerate subject, but does not want to study Pure Mathematics. The emphasis is on using and applying statistics. The content of the A’Level specification has been selected to include statistical knowledge, skills and techniques which are needed for the study of other subjects, such as Biology, Economics, Geography, Psychology and Business Studies. For Biology where a significant part of the course involves the use of statistics, the knowledge and skills taught by an A-Level Statistics course can be vital. The relevance of Statistics has been recognised by Medical Schools for which it is now a preferred subject. The specification is designed to give an understanding of the calculation of statistical measures, as well as their application and interpretation, without requiring knowledge of Pure Mathematics beyond GCSE.

You can take this course irrespective of whether you do “A-Level Pure Mathematics” or “A- Level Mathematics”. If you do take A-Level Statistics you should avoid the Statistics option in “A-Level Mathematics”.

Mathematics is not about knowing, it’s about not-knowing.

It is easy to fall into the trap of believing that learning means knowing. More learning means more knowing. But mathematics is the thinking we do when we don’t know the answer or the method. Problem-solving requires a situation where neither the answer nor the method is known up front. Once we know the answer and the method we are no longer doing the problem-solving and reasoning that make up mathematics.

This creates a challenge for math educators. To promote math education requires learning that is not based on knowledge (Bloom’s lowest skill.) So what then, if not knowledge, are we teaching? This is the very confusion that creates resistance to real mathematics curriculum reform. If not knowledge, then what, in fact, does it mean to learn? We must really learn about our own thinking.

To learn mathematics is to ask, “what am I capable of understanding?” “What am I capable of thinking?” “What can I figure out on my own with the available information?” “What are the potentials and limits to my ability to discover new information?”

As such, mathematics looks inward, not outward. Mathematics means, “Know thyself!” If mathematics is inward looking then it is not made up of facts in books. Books can only be used to support the introspection.

If You Want to Get Ahead, learn to love Maths!!! You Are in Good Hands with XTMPI Mathematics!! YOU PRESS THE MATHS, WE DO THE REST

Department of Mathematics,

George Evripides

– A’ Level

– IGCSE

– Support for School

Let us assist you in finding the most appropriate class for you or your child.

**Contact us**or read more about each class below.XTMPI MATHS DEPARTMENT

*“Mathematics possesses not only truth, but supreme beauty—a beauty cold and austere, like that of sculpture.”*BERTRAND, RussellWhat does it mean to succeed in mathematics? If we can answer that, then we can evaluate what math education should accomplish.

Some people hate mathematics because some other people taught them to hate mathematics. Don’t think, memorize! Don’t develop ideas, follow the procedures! Don’t examine real problems, do a set of uninspiring cookie-cutter formula problems – memorize the steps first. Don’t ask why, follow the rules! Disregard interesting asides, race for the top! How could anyone maintain their interests and intellect when treated this way? We have them race to the top – of what? Who defined calculus as the top? Who created all these rules anyway? Why do we have to learn them?

**The students are right to ask!**The XTMPI Maths Department is involved in true educational reform so we use the slogans above to help us evaluate our goals, to assist us in making your math experience a pleasant one. Here at XTMPI we are moving at the Speed of: ”Love Maths” and we are offering students the opportunity to select numerous combinations from the broad spectrum of Unitised Mathematics offered by examining boards of the United Kingdom.

More specifically we offer teaching for the following units:

IGCSE: 3H(Higher), 4H(Higher)

Core Mathematics: Units 1, 2, 3 and 4

Further Pure Mathematics: Units 1, 2

Statistics: Units 1, 2, 3, 4, 5 and 6

The above units can be used in a variety of combinations so that students can obtain up to three A levels.

Six of the above units are required for an A level award and three for an AS level award.

In order for two combinations of six units each to be considered as two separate A levels, they must not have units in common.

Leading the way internationally we have managed to create a programme to suit the individual needs of students, within the framework of the syllabus, consisting of the various units which make up up to three A levels in Mathematics. Typically:

For students requiring

*only one*mathematical A level, it would be appropriate and valuable to pursue:• A Level Pure Mathematics:(Core Maths units 1, 2, 3 and 4, Further Pure 1 and 2)

This combination consists of core and advanced pure mathematics and is particularly valuable in all of the science fields as well as in all of the social sciences, Law and Economics.

For students requiring

*two*mathematical A levels, we offer the following two choices:• A Level Pure Mathematics: (Core Maths units 1, 2, 3 and 4, Further Pure 1 and 2) and

• A Level Statistics: (Statistics Units 1 up to 6)

A Level Statistics covers a wide spectrum of subjects in diverse fields of study such as Law, Linguistics, psychology, biology, physics, medicine etc. For students who have successfully passed the IGCSE Mathematics while in their third year of secondary school, we offer a two-year course for their fourth and fifth year and a one-year Statistics course in the fifth or sixth year. For students who have successfully passed the IGCSE Mathematics in the second year of secondary school, the programme will be completed a year earlier.

A typical route for a student would be to take the IGCSE Mathematics while in third year of secondary school and thereafter one of the above A Level courses.

IGCSE MATHEMATICS – EDEXCEL IGCSE-ONE YEAR SPECIFICATION-2 UNITS

The IGCSE in Mathematics is designed as a one-year course to meet the needs of students of all abilities. The specification requires candidates to demonstrate their knowledge, understanding and skills in the following: number and algebra, shape, trigonometry, space and measures and handling data. This qualification is equivalent to Edexcel’s UK GCSE in Mathematics and provides a solid basis for AS and Advanced GCE, or comparable qualifications

Follow the IGCSE in Mathematics that offers students the opportunity to build upon skills already learnt and develop many new mathematical concepts. On successful completion, students can choose to further their study by taking GCE AS and A levels or other equivalent qualifications. We suggest our students on starting the above course after completing Class 2 or Class 3 of Secondary School

GCE MATHEMATICS – EDEXCEL GCE-TWO YEAR SPECIFICATION-6 UNITS

A’Level in Mathematics

Mathematics is a highly regarded A Level which complements Science based subjects and offers a broad balance to arts based students. It requires a high degree of commitment in students after completing IGCSE in Mathematics and is of particular use to those thinking of higher education based in the sciences and engineering and not only. Students considering applying for a competitive degree and/or considering Oxbridge/LSE entry are strongly encouraged to take A-Level Mathematics. Recent studies have shown that those who have taken A-Level Mathematics increase their earning potential whatever their choice of degree. The specification allows greater flexibility and aims to create a positive learning environment, enabling teachers to adapt to students’ needs and help them fulfil their potential.

A – Level Pure Mathematics (Edexcel)

GCE STATITSICS – AQA GCE-TWO YEAR SPECIFICATION-6 UNITS

AS/ ALevel Statistics (AQA)

The AS and A Level Statistics qualifications may appeal to the student who wishes to pursue the study of a numerate subject, but does not want to study Pure Mathematics. The emphasis is on using and applying statistics. The content of the A’Level specification has been selected to include statistical knowledge, skills and techniques which are needed for the study of other subjects, such as Biology, Economics, Geography, Psychology and Business Studies. For Biology where a significant part of the course involves the use of statistics, the knowledge and skills taught by an A-Level Statistics course can be vital. The relevance of Statistics has been recognised by Medical Schools for which it is now a preferred subject. The specification is designed to give an understanding of the calculation of statistical measures, as well as their application and interpretation, without requiring knowledge of Pure Mathematics beyond GCSE.

You can take this course irrespective of whether you do “A-Level Pure Mathematics” or “A- Level Mathematics”. If you do take A-Level Statistics you should avoid the Statistics option in “A-Level Mathematics”.

Mathematics is not about knowing, it’s about not-knowing.

It is easy to fall into the trap of believing that learning means knowing. More learning means more knowing. But mathematics is the thinking we do when we don’t know the answer or the method. Problem-solving requires a situation where neither the answer nor the method is known up front. Once we know the answer and the method we are no longer doing the problem-solving and reasoning that make up mathematics.

This creates a challenge for math educators. To promote math education requires learning that is not based on knowledge (Bloom’s lowest skill.) So what then, if not knowledge, are we teaching? This is the very confusion that creates resistance to real mathematics curriculum reform. If not knowledge, then what, in fact, does it mean to learn? We must really learn about our own thinking.

To learn mathematics is to ask, “what am I capable of understanding?” “What am I capable of thinking?” “What can I figure out on my own with the available information?” “What are the potentials and limits to my ability to discover new information?”

As such, mathematics looks inward, not outward. Mathematics means, “Know thyself!” If mathematics is inward looking then it is not made up of facts in books. Books can only be used to support the introspection.

If You Want to Get Ahead, learn to love Maths!!! You Are in Good Hands with XTMPI Mathematics!! YOU PRESS THE MATHS, WE DO THE REST

Department of Mathematics,

George Evripides