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Mathematics examinations or mathematics curriculum?

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Some people say that it is not necessary for a Grade 10 student to buy an ordinary scientific calculator because they have smartphones with built-in calculators. If not, it is easy to install a calculator app on mobile phones. A smartphone should not be used as a calculator during a mathematics test or a mathematics exam because it can be used for cheating. In the UK and other developed countries students have to keep their smartphones in their school bags or in their lockers outside the classroom during mathematics tests and exams. 

by Anton Peiris
anton25ps@gmail.com

R. N.A. De Silva has, in a recent article, provided some useful tips to students as regards preparation for mathematics examinations. Trained teachers and graduates with professional qualifications are familiar with this topic.  All mathematics teachers have a duty to help the students with revision.

The more important task is to salvage the Sri Lankan O/Level mathematics students from the abyss that they have fallen into, viz. the implications and the retarding effect of the use of obsolete Log Tables. The Minister of Education, Senior Ministry Officials and the NIA are oblivious to the important and interesting things that have happened in Grades 10 and 11 mathematics in the UK, other parts of Europe, Japan, Canada, China and elsewhere. They have been like frogs in a well for almost half a century. Here are two important facts:

1. O/Level mathematics students in Sri Lanka are 46 years behind their counterparts in the UK and in other developed countries. Ordinary Scientific calculators were introduced to the O/Level mathematics classrooms in the UK way back in 1977. Prior to that those students used Slide Rules to facilitate their mathematical calculations. Ordinary scientific calculators give the values of Sine, Cos, Tan and their Inverses, Log, LN, exponential powers, square roots, squares, reciprocals, factorials, etc., at the press of a button, in addition to performing arithmetic functions. There is no memory to store mathematical formulae, etc. It is an invaluable tool for solving sophisticated and interesting mathematical problems and also problems in ordinary statistics. It has paved the way for achieving high standards in O/Level Mathematics in those countries.

Just compare the maths questions in the Cambridge IGCSE or the London O/Level Maths Exam with the questions in the Sri Lankan O/Level maths exam and you will see how far our students have fallen behind.

The Cambridge O/Level examination was replaced by the GCSE and the IGCSE (International General Certificate of Secondary Education) a few decades ago.

I am not referring to Programmable Calculators and Graphic Display Calculators (GDC), meaning devices with a small screen that can display graphs, perform statistical calculations like the Z- Score for large samples, show Matrix calculations, provide solutions to algebraic equations, etc., at the press of a few buttons. GDC is a compulsory item for A/Level mathematics students in the UK and in all developed countries.

Some teachers say that by using ordinary scientific calculators in Grades 10 and 11, students will not acquire the ability to carry out mental arithmetic calculations. This is not true because

(i). Calculators are introduced in Grade 10. Maths teachers have five years of Primary School and three years of Middle school (Grades 7, 8 and 9) i.e. a total of eight years to inculcate sufficient mental arithmetic skills in their students before the calculators are introduced in Grade 10!

(ii). In the IGCSE and in the London O/Level Mathematics Exams calculators are not allowed for Paper 1. Preparation for Paper 1 requires the acquisition of mental arithmetic skills, e.g., one lesson per week in class in Grades 10 and 11 in which calculators are not allowed. Sri Lanka could follow suit.

Some people say that it is not necessary for a Grade 10 student to buy an ordinary scientific calculator because they have smartphones with built-in calculators. If not, it is easy to install a calculator app on mobile phones. A smartphone should not be used as a calculator during a mathematics test or a mathematics exam because it can be used for cheating. In the UK and other developed countries students have to keep their smartphones in their school bags or in their lockers outside the classroom during mathematics tests and exams.

An ordinary scientific calculator costs less than 10 % of the price of a smartphone.

Sri Lankan students in International Schools sit the IGCSE or the London O/Level mathematics exams where ordinary scientific calculators are allowed. These students have made big strides in learning mathematics by using the calculators. Only the rich can send their children to International Schools in Sri Lanka. Millions of poor Sri Lankan students do not have calculators.

Our Minister of Education has announced that the government was planning to transform the country’s education system by introducing ‘’STEAM’ (Science, Technology, Engineering, Arts and Mathematics). Maintaining high standards in O/Level Mathematics is the key to a successful implementation of STEAM programme. Unfortunately, the Education Minister and top education official are not aware of the fact that the only way to improve the standard of O/Level Mathematics is to do what the developed countries have done, i. e., revamping the O/Level mathematics syllabus and to introducing the ordinary scientific calculator in Grades 10 & 11. If they do it, it will be an important piece of curriculum development.

Bear in mind that the UK and other developed countries have taken another important step during the last 20 years; they have introduced the Graphic Display Calculator (GDC) to the O/Level Mathematics class and by providing a Core Exam and an Extended Exam. In the Cambridge IGCSE Mathematics Exams, Papers 1, 3, and 5 constitute the Core Exam. Papers 2 ,4 and 6 constitute the Extended Exam. Calculators are not allowed in Papers 1 and 2.

The Core Exam is a boon to students who have very little or no mathematical ability. More on this in my next article.

By using Log Tables, our Sri Lankan O/Level students have to spend a lot of time to solve an IGCSE (Extended Syllabus) exam problem or a London O/Level mathematics exam problem because the use of Log Tables takes a long time  to work out the Squares, Square Roots, exponential powers, reciprocals , LN , factorials, etc., and that is tedious work while their counterparts in developed countries do that in a few seconds by pressing a couple of buttons in an ordinary scientific calculator.

The Calculator has given them more motivation to learn mathematics.

O/Level students in the UK have graduated from the ordinary scientific calculator to the Graphic Display Calculator (GDC) thereby improving their ability to solve more sophisticated, more important and more interesting problems in mathematics, statistics and physics. Sri Lankan O/Level students are compelled to use obsolete Log Tables.

Hats off to that Minister of Education who introduced the ordinary scientific calculator to the Sri Lankan A/ Level Mathematics classroom and to the A/Level Mathematics Exam a few years ago. That was a small step in the right direction. Minister Susil Premjayantha, please revamp the O/Level mathematics syllabus and introduce the ordinary scientific calculator to Grades 10 and 11 now. That will ensure a big boost for your STEAM programme and yield benefits for the Sri Lankan economy.

(To be continued. Topic 2:  The necessity for introducing an O/Level Mathematics Core Exam and an Extended Exam. The writer has taught O/Level and A/Level Mathematics and Physics for 45 years in Asia, Africa and Europe and is an Emeritus Coordinator for International Baccalaureate, Geneva.)



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The heart-friendly health minister

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Dr. Ramesh Pathirana

by Dr Gotabhya Ranasinghe
Senior Consultant Cardiologist
National Hospital Sri Lanka

When we sought a meeting with Hon Dr. Ramesh Pathirana, Minister of Health, he graciously cleared his busy schedule to accommodate us. Renowned for his attentive listening and deep understanding, Minister Pathirana is dedicated to advancing the health sector. His openness and transparency exemplify the qualities of an exemplary politician and minister.

Dr. Palitha Mahipala, the current Health Secretary, demonstrates both commendable enthusiasm and unwavering support. This combination of attributes makes him a highly compatible colleague for the esteemed Minister of Health.

Our discussion centered on a project that has been in the works for the past 30 years, one that no other minister had managed to advance.

Minister Pathirana, however, recognized the project’s significance and its potential to revolutionize care for heart patients.

The project involves the construction of a state-of-the-art facility at the premises of the National Hospital Colombo. The project’s location within the premises of the National Hospital underscores its importance and relevance to the healthcare infrastructure of the nation.

This facility will include a cardiology building and a tertiary care center, equipped with the latest technology to handle and treat all types of heart-related conditions and surgeries.

Securing funding was a major milestone for this initiative. Minister Pathirana successfully obtained approval for a $40 billion loan from the Asian Development Bank. With the funding in place, the foundation stone is scheduled to be laid in September this year, and construction will begin in January 2025.

This project guarantees a consistent and uninterrupted supply of stents and related medications for heart patients. As a result, patients will have timely access to essential medical supplies during their treatment and recovery. By securing these critical resources, the project aims to enhance patient outcomes, minimize treatment delays, and maintain the highest standards of cardiac care.

Upon its fruition, this monumental building will serve as a beacon of hope and healing, symbolizing the unwavering dedication to improving patient outcomes and fostering a healthier society.We anticipate a future marked by significant progress and positive outcomes in Sri Lanka’s cardiovascular treatment landscape within the foreseeable timeframe.

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A LOVING TRIBUTE TO JESUIT FR. ALOYSIUS PIERIS ON HIS 90th BIRTHDAY

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Fr. Aloysius Pieris, SJ was awarded the prestigious honorary Doctorate of Literature (D.Litt) by the Chancellor of the University of Kelaniya, the Most Venerable Welamitiyawe Dharmakirthi Sri Kusala Dhamma Thera on Nov. 23, 2019.

by Fr. Emmanuel Fernando, OMI

Jesuit Fr. Aloysius Pieris (affectionately called Fr. Aloy) celebrated his 90th birthday on April 9, 2024 and I, as the editor of our Oblate Journal, THE MISSIONARY OBLATE had gone to press by that time. Immediately I decided to publish an article, appreciating the untiring selfless services he continues to offer for inter-Faith dialogue, the renewal of the Catholic Church, his concern for the poor and the suffering Sri Lankan masses and to me, the present writer.

It was in 1988, when I was appointed Director of the Oblate Scholastics at Ampitiya by the then Oblate Provincial Fr. Anselm Silva, that I came to know Fr. Aloy more closely. Knowing well his expertise in matters spiritual, theological, Indological and pastoral, and with the collaborative spirit of my companion-formators, our Oblate Scholastics were sent to Tulana, the Research and Encounter Centre, Kelaniya, of which he is the Founder-Director, for ‘exposure-programmes’ on matters spiritual, biblical, theological and pastoral. Some of these dimensions according to my view and that of my companion-formators, were not available at the National Seminary, Ampitiya.

Ever since that time, our Oblate formators/ accompaniers at the Oblate Scholasticate, Ampitiya , have continued to send our Oblate Scholastics to Tulana Centre for deepening their insights and convictions regarding matters needed to serve the people in today’s context. Fr. Aloy also had tried very enthusiastically with the Oblate team headed by Frs. Oswald Firth and Clement Waidyasekara to begin a Theologate, directed by the Religious Congregations in Sri Lanka, for the contextual formation/ accompaniment of their members. It should very well be a desired goal of the Leaders / Provincials of the Religious Congregations.

Besides being a formator/accompanier at the Oblate Scholasticate, I was entrusted also with the task of editing and publishing our Oblate journal, ‘The Missionary Oblate’. To maintain the quality of the journal I continue to depend on Fr. Aloy for his thought-provoking and stimulating articles on Biblical Spirituality, Biblical Theology and Ecclesiology. I am very grateful to him for his generous assistance. Of late, his writings on renewal of the Church, initiated by Pope St. John XX111 and continued by Pope Francis through the Synodal path, published in our Oblate journal, enable our readers to focus their attention also on the needed renewal in the Catholic Church in Sri Lanka. Fr. Aloy appreciated very much the Synodal path adopted by the Jesuit Pope Francis for the renewal of the Church, rooted very much on prayerful discernment. In my Religious and presbyteral life, Fr.Aloy continues to be my spiritual animator / guide and ongoing formator / acccompanier.

Fr. Aloysius Pieris, BA Hons (Lond), LPh (SHC, India), STL (PFT, Naples), PhD (SLU/VC), ThD (Tilburg), D.Ltt (KU), has been one of the eminent Asian theologians well recognized internationally and one who has lectured and held visiting chairs in many universities both in the West and in the East. Many members of Religious Congregations from Asian countries have benefited from his lectures and guidance in the East Asian Pastoral Institute (EAPI) in Manila, Philippines. He had been a Theologian consulted by the Federation of Asian Bishops’ Conferences for many years. During his professorship at the Gregorian University in Rome, he was called to be a member of a special group of advisers on other religions consulted by Pope Paul VI.

Fr. Aloy is the author of more than 30 books and well over 500 Research Papers. Some of his books and articles have been translated and published in several countries. Among those books, one can find the following: 1) The Genesis of an Asian Theology of Liberation (An Autobiographical Excursus on the Art of Theologising in Asia, 2) An Asian Theology of Liberation, 3) Providential Timeliness of Vatican 11 (a long-overdue halt to a scandalous millennium, 4) Give Vatican 11 a chance, 5) Leadership in the Church, 6) Relishing our faith in working for justice (Themes for study and discussion), 7) A Message meant mainly, not exclusively for Jesuits (Background information necessary for helping Francis renew the Church), 8) Lent in Lanka (Reflections and Resolutions, 9) Love meets wisdom (A Christian Experience of Buddhism, 10) Fire and Water 11) God’s Reign for God’s poor, 12) Our Unhiddden Agenda (How we Jesuits work, pray and form our men). He is also the Editor of two journals, Vagdevi, Journal of Religious Reflection and Dialogue, New Series.

Fr. Aloy has a BA in Pali and Sanskrit from the University of London and a Ph.D in Buddhist Philosophy from the University of Sri Lankan, Vidyodaya Campus. On Nov. 23, 2019, he was awarded the prestigious honorary Doctorate of Literature (D.Litt) by the Chancellor of the University of Kelaniya, the Most Venerable Welamitiyawe Dharmakirthi Sri Kusala Dhamma Thera.

Fr. Aloy continues to be a promoter of Gospel values and virtues. Justice as a constitutive dimension of love and social concern for the downtrodden masses are very much noted in his life and work. He had very much appreciated the commitment of the late Fr. Joseph (Joe) Fernando, the National Director of the Social and Economic Centre (SEDEC) for the poor.

In Sri Lanka, a few religious Congregations – the Good Shepherd Sisters, the Christian Brothers, the Marist Brothers and the Oblates – have invited him to animate their members especially during their Provincial Congresses, Chapters and International Conferences. The mainline Christian Churches also have sought his advice and followed his seminars. I, for one, regret very much, that the Sri Lankan authorities of the Catholic Church –today’s Hierarchy—- have not sought Fr.

Aloy’s expertise for the renewal of the Catholic Church in Sri Lanka and thus have not benefited from the immense store of wisdom and insight that he can offer to our local Church while the Sri Lankan bishops who governed the Catholic church in the immediate aftermath of the Second Vatican Council (Edmund Fernando OMI, Anthony de Saram, Leo Nanayakkara OSB, Frank Marcus Fernando, Paul Perera,) visited him and consulted him on many matters. Among the Tamil Bishops, Bishop Rayappu Joseph was keeping close contact with him and Bishop J. Deogupillai hosted him and his team visiting him after the horrible Black July massacre of Tamils.

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A fairy tale, success or debacle

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Ministers S. Iswaran and Malik Samarawickrama signing the joint statement to launch FTA negotiations. (Picture courtesy IPS)

Sri Lanka-Singapore Free Trade Agreement

By Gomi Senadhira
senadhiragomi@gmail.com

“You might tell fairy tales, but the progress of a country cannot be achieved through such narratives. A country cannot be developed by making false promises. The country moved backward because of the electoral promises made by political parties throughout time. We have witnessed that the ultimate result of this is the country becoming bankrupt. Unfortunately, many segments of the population have not come to realize this yet.” – President Ranil Wickremesinghe, 2024 Budget speech

Any Sri Lankan would agree with the above words of President Wickremesinghe on the false promises our politicians and officials make and the fairy tales they narrate which bankrupted this country. So, to understand this, let’s look at one such fairy tale with lots of false promises; Ranil Wickremesinghe’s greatest achievement in the area of international trade and investment promotion during the Yahapalana period, Sri Lanka-Singapore Free Trade Agreement (SLSFTA).

It is appropriate and timely to do it now as Finance Minister Wickremesinghe has just presented to parliament a bill on the National Policy on Economic Transformation which includes the establishment of an Office for International Trade and the Sri Lanka Institute of Economics and International Trade.

Was SLSFTA a “Cleverly negotiated Free Trade Agreement” as stated by the (former) Minister of Development Strategies and International Trade Malik Samarawickrama during the Parliamentary Debate on the SLSFTA in July 2018, or a colossal blunder covered up with lies, false promises, and fairy tales? After SLSFTA was signed there were a number of fairy tales published on this agreement by the Ministry of Development Strategies and International, Institute of Policy Studies, and others.

However, for this article, I would like to limit my comments to the speech by Minister Samarawickrama during the Parliamentary Debate, and the two most important areas in the agreement which were covered up with lies, fairy tales, and false promises, namely: revenue loss for Sri Lanka and Investment from Singapore. On the other important area, “Waste products dumping” I do not want to comment here as I have written extensively on the issue.

1. The revenue loss

During the Parliamentary Debate in July 2018, Minister Samarawickrama stated “…. let me reiterate that this FTA with Singapore has been very cleverly negotiated by us…. The liberalisation programme under this FTA has been carefully designed to have the least impact on domestic industry and revenue collection. We have included all revenue sensitive items in the negative list of items which will not be subject to removal of tariff. Therefore, 97.8% revenue from Customs duty is protected. Our tariff liberalisation will take place over a period of 12-15 years! In fact, the revenue earned through tariffs on goods imported from Singapore last year was Rs. 35 billion.

The revenue loss for over the next 15 years due to the FTA is only Rs. 733 million– which when annualised, on average, is just Rs. 51 million. That is just 0.14% per year! So anyone who claims the Singapore FTA causes revenue loss to the Government cannot do basic arithmetic! Mr. Speaker, in conclusion, I call on my fellow members of this House – don’t mislead the public with baseless criticism that is not grounded in facts. Don’t look at petty politics and use these issues for your own political survival.”

I was surprised to read the minister’s speech because an article published in January 2018 in “The Straits Times“, based on information released by the Singaporean Negotiators stated, “…. With the FTA, tariff savings for Singapore exports are estimated to hit $10 million annually“.

As the annual tariff savings (that is the revenue loss for Sri Lanka) calculated by the Singaporean Negotiators, Singaporean $ 10 million (Sri Lankan rupees 1,200 million in 2018) was way above the rupees’ 733 million revenue loss for 15 years estimated by the Sri Lankan negotiators, it was clear to any observer that one of the parties to the agreement had not done the basic arithmetic!

Six years later, according to a report published by “The Morning” newspaper, speaking at the Committee on Public Finance (COPF) on 7th May 2024, Mr Samarawickrama’s chief trade negotiator K.J. Weerasinghehad had admitted “…. that forecasted revenue loss for the Government of Sri Lanka through the Singapore FTA is Rs. 450 million in 2023 and Rs. 1.3 billion in 2024.”

If these numbers are correct, as tariff liberalisation under the SLSFTA has just started, we will pass Rs 2 billion very soon. Then, the question is how Sri Lanka’s trade negotiators made such a colossal blunder. Didn’t they do their basic arithmetic? If they didn’t know how to do basic arithmetic they should have at least done their basic readings. For example, the headline of the article published in The Straits Times in January 2018 was “Singapore, Sri Lanka sign FTA, annual savings of $10m expected”.

Anyway, as Sri Lanka’s chief negotiator reiterated at the COPF meeting that “…. since 99% of the tariffs in Singapore have zero rates of duty, Sri Lanka has agreed on 80% tariff liberalisation over a period of 15 years while expecting Singapore investments to address the imbalance in trade,” let’s turn towards investment.

Investment from Singapore

In July 2018, speaking during the Parliamentary Debate on the FTA this is what Minister Malik Samarawickrama stated on investment from Singapore, “Already, thanks to this FTA, in just the past two-and-a-half months since the agreement came into effect we have received a proposal from Singapore for investment amounting to $ 14.8 billion in an oil refinery for export of petroleum products. In addition, we have proposals for a steel manufacturing plant for exports ($ 1 billion investment), flour milling plant ($ 50 million), sugar refinery ($ 200 million). This adds up to more than $ 16.05 billion in the pipeline on these projects alone.

And all of these projects will create thousands of more jobs for our people. In principle approval has already been granted by the BOI and the investors are awaiting the release of land the environmental approvals to commence the project.

I request the Opposition and those with vested interests to change their narrow-minded thinking and join us to develop our country. We must always look at what is best for the whole community, not just the few who may oppose. We owe it to our people to courageously take decisions that will change their lives for the better.”

According to the media report I quoted earlier, speaking at the Committee on Public Finance (COPF) Chief Negotiator Weerasinghe has admitted that Sri Lanka was not happy with overall Singapore investments that have come in the past few years in return for the trade liberalisation under the Singapore-Sri Lanka Free Trade Agreement. He has added that between 2021 and 2023 the total investment from Singapore had been around $162 million!

What happened to those projects worth $16 billion negotiated, thanks to the SLSFTA, in just the two-and-a-half months after the agreement came into effect and approved by the BOI? I do not know about the steel manufacturing plant for exports ($ 1 billion investment), flour milling plant ($ 50 million) and sugar refinery ($ 200 million).

However, story of the multibillion-dollar investment in the Petroleum Refinery unfolded in a manner that would qualify it as the best fairy tale with false promises presented by our politicians and the officials, prior to 2019 elections.

Though many Sri Lankans got to know, through the media which repeatedly highlighted a plethora of issues surrounding the project and the questionable credentials of the Singaporean investor, the construction work on the Mirrijiwela Oil Refinery along with the cement factory began on the24th of March 2019 with a bang and Minister Ranil Wickremesinghe and his ministers along with the foreign and local dignitaries laid the foundation stones.

That was few months before the 2019 Presidential elections. Inaugurating the construction work Prime Minister Ranil Wickremesinghe said the projects will create thousands of job opportunities in the area and surrounding districts.

The oil refinery, which was to be built over 200 acres of land, with the capacity to refine 200,000 barrels of crude oil per day, was to generate US$7 billion of exports and create 1,500 direct and 3,000 indirect jobs. The construction of the refinery was to be completed in 44 months. Four years later, in August 2023 the Cabinet of Ministers approved the proposal presented by President Ranil Wickremesinghe to cancel the agreement with the investors of the refinery as the project has not been implemented! Can they explain to the country how much money was wasted to produce that fairy tale?

It is obvious that the President, ministers, and officials had made huge blunders and had deliberately misled the public and the parliament on the revenue loss and potential investment from SLSFTA with fairy tales and false promises.

As the president himself said, a country cannot be developed by making false promises or with fairy tales and these false promises and fairy tales had bankrupted the country. “Unfortunately, many segments of the population have not come to realize this yet”.

(The writer, a specialist and an activist on trade and development issues . )

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