Inverness Maths Tutors and Inverness Maths Tuition

Personal Description:
I graduated from Cambridge University with a BA in English Literature, and then from the Guildhall School of Music & Drama, graduating with a BA in acting, where I was the recipient of the Noel Coward Scholarship from 2008-2011. In July 2011 I won the Michael Bryant Award at the National Theatre, for verse speaking and Shakespeare.

When I'm not acting or tutoring I can be found in the plumbing, plastering, kitchen or grappling with a cryptic crossword.

CURRENT AVAILABLE SLOTS: 9-10am + 10-11am Sundays, weekly.

Teaching Experience:
I have been a private tutor since 2008.

Currently tutoring students in: 8+, 10+ & 11+ preparation (all four subjects); GCSE Maths. Adult English and pronunciation skills.

Previously: English - KS1, KS2, 7+ (Successful entry to Highgate), 11+ (Successful entry to, Haberdashers' Askes Boys, Trinity, City of London School for Boys, Alleyn's, St Alban's), A Level (A at A Level English and Extended English). Maths - KS1, KS2, 7+, 11+, 13+ (successful entry to Oundle, Haberdashers' Askes Boys), GCSE (grade improved from D to A*). University application assistance (Successful entry to Durham and Oxford). English as a foreign language - including public speaking and native pronunciation and grammar for business professionals.

During my gap year I spent some time as a special needs classroom assistant, working closely with a child with Asperger's Syndrome. This involved facilitating the social and academic change between primary and secondary education on a one-to-one basis.

Also at this time I ran Welsh language games sessions for primary children in non-first-language schools to improve and encourage their use of the language outside of the classroom environment.

Whilst at secondary school I taught reading skills to children who had low reading-ages.

I wrote a thesis on the connections between Maths and acting whilst at Guildhall.

Tutoring Approach:
My approach to tutoring is tailored to the individual's needs; firstly finding ways of fully explaining a concept, then cementing them with useful and memorable material to build students' confidence. My main objective would be to aid the student in understanding not only the specifics of the work but also the broader aspects of it, which I believe provides a truer grounding in - and enjoyment of - a subject. By making the work useful and enjoyable, and by finding alternative and effective approaches to study, I hope that my tuition will shed new light on subjects for students.

My passion is building confidence and fostering resilient approaches to problem solving.

I specialise in tutoring Maths and particularly enjoy helping those students whose confidence in the subject has become a barrier to their learning and enjoyment of the subject.

Previous Students' Comments:

'Before I met Alex, as a dyslexic, I was academically unconfident and dreaded having tutors who had never really helped me before. Alex tutored me from Year 8 to 11 and she completely changed my attitude to studying, helped me develop my organisational skills and gave me a huge amount of confidence in my abilities. As I approached GCSEs she tutored me particularly in Maths where I was struggling with a D grade. Without her expert tuition I doubt I would have been able to achieve my A* in Maths.

I think Alex is an amazing tutor because she has an extraordinary talent for making it a thoroughly enjoyable experience to the extent I would genuinely look forward to our lessons. Alex was far more than a tutor to me, helping me through such formative teenage years. I consider her a friend.'

- Tally

'Alex is a truly outstanding and gifted tutor as well as a fantastic person. I have very much enjoyed being her student for over six months, and have not only learnt a lot due to her expertise and impressive knowledge but also grew to love English Literature because of the inspirational nature of her tutoring. Previously, I used to constantly struggle with my assignments since English is not my first language, however, after a few weeks of sessions with Alex my grades and confidence significantly improved. She has an ability to keep the lessons varied and interesting; always well prepared for lessons - she was kind enough to provide me with extremely useful books and personal notes. Her incredible dedication and hard working nature also deserves mentioning as she was willing to help me even in the evenings when I was panicking about coursework and the approaching exams. With Alex's assistance and firm confidence in my ability I have achieved a high A in my A-level English Literature and even a merit award in Extended English. I would enthusiastically recommend Alex to anyone who wants to succeed in their exams and learn heaps of interesting information.

- Natasza (Graduated with an MA from Oxford University)

Subjects

Personal Description:
I am expert mathematician with double degree in mathematics from prestigious UK university and full time tutor for more than 14 years of teaching experience. I am fully experienced in building student confidence to solve challenging maths problem at GCSE, A level and university level. Last year I have achieved above 90% success rate in exams through result-orientated teaching methods.

Teaching Experience:
Key stage 3 and GCSE level- 14+ years
A level - 14+ years
Undergraduates 6+ years

Tutoring Approach:
I am offering online one to one and small group tuition to GCSEs, A-levels and undergraduates. My method of teaching mathematics is based upon rigorous practice on exam style questions.

My in-depth subject knowledge and mentoring experience means I can approach problems multiple ways and select the methods best suited to my student. Above 90% of my students achieved their target grade or better result last year. Biggest gift I can give to student is confidence to solve problems and manage time to relief exam stress so that they can focus on gaining maximum mark in the exam.That is why my focus is on guiding student to the solution by promoting independent learning and research skills.

I am discounting all my fees in order to help students stranded at home by ongoing corona pandemic. Please contact me as soon as possible to take advantage of this discount.

CRB checked: Yes
References will be provided upon request.

Subjects

Personal Description:
I am a retired Professor of Mathematics. I have the capability to explain even the "difficult" topics in a very simplified manner. I know how to communicate Maths.

Teaching Experience:
I have over 45 years of experience of teaching Mathematics. I have been teaching Engineering Mathematics to engineering undergraduates of various technologies like Electrical, Mechanical, Civil and Chemical Engineering etc. I have also been teaching Business Mathematics to Business and Management Studies students. I have also been tutoring GCSE and A level students of London and Cambridge boards for the last 15 years.
My students have always been showing very good results.

Tutoring Approach:
In the first meeting I observe the students. I note down the weaker areas. Then I focus on those areas first. The students start picking after a very few meetings.

Subjects

Personal Description:
I am a mechanical engineer with MPhil in Engineering for Sustainable Development from University of Cambridge.

Teaching Experience:
I was involved in conducting the training camp for the selection of the team that represented Pakistan in the 36th International Physics Olympiad, held in Spain. I was involved in conducting exams, practicals, marking, teaching as well as coordinating tutorials sessions with professors.

Tutoring Approach:
I like to take a practical approach to teaching. I want to give an intuitive feel to the students to help him grasp complex concepts. I do this by giving everyday examples to highlight the subjects under study. I want to
make science fun, cool and intuitive for students and remove the myth and misconceived perception that it is difficult and boring. If the teaching approach is correct, there is no reason why students will not be thrilled by laws and mechanisms of universe.

Subjects

Personal Description:
Hi, I am currently a 20 year old university student living in Birmingham, studying Medicine at the University of Birmingham. I enjoy working with children and passing on my knowledge in an understandable way, as someone who has recently undertaken GCSE's and A levels myself I feel that I can offer the highest degree of teaching and revision to students aged 11-16 through use of my recent personal experiences of coping with exams and figuring out effective learning and revision methods for certain areas of each subject

Teaching Experience:
I have mentored year 4 students in maths before as part of a scheme within school, as well as year 7 students. In total I have tutored 8 students over the last 2 years, all of whom achieved what they set out to achieve when I started my tutoring, from getting into the Liverpool Blue Coat School (the school that achieved the highest national GCSE grades the year that I sat GCSE's), to getting a grade 8 in maths (A* equivalent)

Tutoring Approach:
I feel that my unique selling point is that as a student myself, I can relate to the struggles that other students encounter when subjects are taught and delivered to them. My weaknesses and qualms during the GCSE and A level period were only resolved by my own active learning to teach myself topics which I couldn't grasp correctly from lessons, and I feel that these are areas and topics many students will find difficulty in understanding, whether it be in Maths, Biology or Chemistry, and so I believe I can effectively pass on my knowledge to help students achieve the highest grades by learning the trickier topics from a different perspective. I can also tutor in other subjects such as Physics, however my strengths are definitely greatest in the subjects I have listed, as well as in tutoring for 11+ exams.

Subjects

Personal Description:
I am a dedicated teacher and tutor who is passionate about education and the progression of students to achieve their maximum potential. Currently Head of Economics, with 10 years experience in the classroom teaching A-Level and GCSE Business, Economics and Financial Education.

Teaching Experience:
I am currently Head of Economics in a highly successful inner London secondary school. I have taught for 10 years across various exam boards and also have experience as an A-Level examiner for AQA. I am a co-author for the most recent GCSE Economics workbook by published by Hodder Education.

My previous experience includes working as an Academic Mentor for Economics and Business Studies in a Sixth Form College. My undergraduate degree was in BSc Economics from City University London. I also completed my PGCE in Business and Economics Education at the Institute of Education, UCL.

I have worked with many A-Level and GCSE students across London to achieve different objectives, ranging from understanding key diagrams to mastering exam technique!

I have been able to witness first-hand the positive impact of tuition and love the opportunity to expand the knowledge and experiences of the students that I meet.

Tutoring Approach:
I believe in a student - centred approach, focusing on building confidence and equipping students to be independent learners. I use current Business and Economics news in sessions, to help students understand different theories and concepts. I use past papers and practice questions to help students develop their exam technique and exam assessment objectives.

I have had experience tutoring online using platforms such as Zoom, Microsoft Teams and Google Meets. I ensure that lessons are engaging use different methods to ensure students are still building their knowledge and understanding of the topic.

Subjects

Personal Description:
I am highly qualified in music and maths. I studied Astro-Physics for a year at London University before switching to study music. My PhD in Composition at the University of Liverpool ended up being half maths and half music. I studied Godel's Theorem and used maths as an aid to composition. This means I am expert at using maths to solve problems which is a core syllabus requirement for all exam boards.

Teaching Experience:
I have tutored in maths and music for 25 years. I have a 100% pass rate for students who have taken maths GCSE. I have attended courses in child protection.

Tutoring Approach:
My teaching style is to help students understand maths, enjoy concepts in maths and apply the knowledge they have learned to pass exams. I am an excellent choice as a tutor as I am patience, have an excellent grasp of the subject and I am able to teach my knowledge to others in an effective way.

Subjects

Personal Description:
I am 43 years old and live at home with my partner and our two boys, both aged 6 and 8.

Teaching Experience:
I have nine years teaching experience in good and outstanding secondary schools. I have taught key stage 3, GCSE/IGCSE, A Level and IB maths and further maths. I have experience of the AQA, Edexcel and CIE specifications.

Tutoring Approach:
I have a calm approach to tutoring. I try to make students feel comfortable. I use a lot of praise and encouragement and really try to improve their confidence.

Subjects

Personal Description:
I am a Primary teacher with four years experience. I am 24 years old, based in Wishaw and I am happy to travel.

Teaching Experience:
I am a classroom practitioner with four years of teaching experience. I am currently a class teacher in a primary school in North Lanarkshire. I have extensive experience working with a range of ages in stages in the primary sector. In addition, I have also taught children with a range of additional support needs and can tailor my teaching methods to meet the needs of each individual learner. I am a passionate teacher who will support children and provide them with engaging and meaningful learning experiences.

Tutoring Approach:
I provide a personalised approach to each of the learners that I tutor. I adopt a holistic approach to teaching, getting to know the learner and assessing their academic needs thoroughly, before planning and implementing a personalised programme of work. I will use a combination of written and active methods of teaching to engage the learner and make the subject more enjoyable. I use current approaches in line with Curriculum for Excellence (CfE). I collaborate with parents to provide weekly updates on progress and also use realistic goals both long-term and short-term.

Subjects

Personal Description:
Hi, my name is Shannon and I am currently studding at the University of Derby and getting a degree in Law. I have received tutoring myself and understand how beneficial it can be to help advance education. I am dedicated to helping you to achieve your highest potential and that you are pushed to achieve your best.

Please note: If you are looking for tutoring in Maths or Combined Science I work with students working on the foundation papers. I am also able to working on individual sciences if one subject requires more attention than another, also at foundation level.

Teaching Experience:
I have experience in tutoring, this started off with family and then younger pupils. Most of the experience I have gained has been tutoring at Primary level in Maths and English However, I do have experience in teaching at ages 11-14 years.

Tutoring Approach:
My approach to tutoring would be based online on an agreed platform, such as zoom. I would start off the first session by getting to know the student, their strengths, their weaknesses, finding out where they struggle most, discussing the best techniques that would be most beneficial to them as an individual as well as answering any questions. Then I would adapt each lesson to the student's preferred learning methods. The lessons may be in form of quizzes, helping to better understand a topic, exam prep, homework help, mini tests, and engaging lessons.

Subjects

Personal Description:
I am half Chinese, half Thai. I grew up from a mixed-cultural background, having lived in Hong Kong, Singapore, and currently London.

Having gone through the GCSE and IB system myself, I offer students specialised support in subjects including Biology, Chemistry and Physics. I am also familiar with the A-level system as I have been teaching students in London over the last 7 years.

I am a good listener, and a patient tutor. I always seek to build a trusting relationship with the tutees, whose learning progress and comfort is a top priority.

Aside from academics and tuition, I am also a freelance artist, specialized in oil painting, charcoal sketches and watercolours.

Teaching Experience:
2014 - Present: Private tutor, London, UK
• Math (KS1-KS3, GCSE/IGCSE)
• Biology (KS1-KS3, GCSE/IGCSE, A-level, IB, University)
• Chemistry (KS1-KS3, GCSE/IGCSE, A-level, IB)
• Physics (KS1-KS3, GCSE/IGCSE)

2011- 2016: Academic mentor, Exscitec - Higher Education Industry, London, UK
• Utilised communication and teaching skills to convey scientific ideas (stem cell biology, medical science strands) to classes of 15-20 high school students from different backgrounds.
• Became a positive and motivational role model for young students.

Oct-Dec 2013: Private tutor for A-level and GCSE Biology and 11+ Math, Bangkok, Thailand
• Provided support for regular school works.
• Successfully prepared the students for their unit tests
• Taught exam preparation techniques for GCSE and A-level.

I have worked with students doing the 11+, 13+ entrance exams for the following schools:

1) Queen's gate
2) St. James Senior Girls School
3) Godolphin and Latymer
4) Whitgift
5) Harrow
6) St Edward's
7) Charterhouse

Tutoring Approach:
My lesson structure is adaptable and typically includes:

1) Specific topic review in line with the syllabus
2) Revision schedule planning
3) Guidance in revision note making
4) Past exam paper practices
5) Exam techniques
6) Homework assistance

I have all the past exam papers and teaching material on hand across all exam boards.

Subjects

Personal Description:
I am an experienced teacher of Mathematics at key stages 2, 3, 4 and 5. I have taught in Bath and London for over 10 years and tutored hundreds of hours worth of lessons both face to face and online.

Teaching Experience:
I am a qualified teacher of Mathematics with wide experience teaching from years 5 to 13. I taught for five years at an all girls` secondary school in Bath before moving to an extremely high achieving boys`school close to my new home in Northwood.

I had spent the years prior teaching in mixed gender secondary schools in Bristol and Trowbridge as well as a middle school in Dorset.

I have seven years of experience helping young people achieve their goals in mathematics in a tutor capacity.

I have created a wealth of resources in recent years with the aim of diagnosing and curing misconceptions in topic specific areas within the curriculum for key stage 3, GCSE, IGCSE, FSMQ and A-level. These have proven invaluable in preparing students for their state examinations.

Tutoring Approach:
I take a very flexible approach to tutoring as my lessons need to be catered to the individual student. I use diagnostics to help inform me of areas of development and create a series of lessons to improve understanding accordingly. I am also happy to be student led when they have immediate issues with their current school learning. When preparing students for state examinations I encourage exam techniques through the use of past paper questions. Throughout, I like to maintain a calm but industrious atmosphere where the students gain confidence and see their progress over time.

Subjects

Personal Description:
I am a 24 Year old with a degree in Early years education. I am currently doing my Qualified Teacher Training at a primary school and tutor children in Maths on the weekends. I have tutoring children for many years to help them excel in schools so that they can reach their full potential.

Teaching Experience:
Through the years, the goal of educating young children has been the focus of my chosen work experiences, both in Health and Social Care (Level 3) at A Level to outside the classroom. From shadowing Early Years Practitioners to assisting Reception class teachers, I have made my rounds from school to school. The invaluable lessons learnt at these settings gave me the skills used to run an afterschool homework club at the local community centre. This included maths and English classes taught to the children as an extension of the school curriculum to help them get a better footing in their classrooms. Combined with my bachelor's degree in Early Years Education, I've attained a well-rounded knowledge on childhood.
During my time volunteering at the local community centre, I aided in many after school and summer school activities. The aim; to widen the experiences and opportunities for the children of Somali refugees. This included sports-based activities in the summer holiday, football club, art club, dance as well as outside sourced leisure interests. My reasoning for volunteering here is that I was once one of these children and this was the same community centre that widened my own horizons. However, this did not have my focus, instead, afterschool homework club did. These experiences showed me that I am willing to go above and beyond for the children that need it both in and out of the classes.

As a nanny for two children in Key Stages' 1 and 2, I was fortunate enough to gain experiences of at home teaching of curriculum-based resources provided by the school during the lockdown. It was an invaluable insight into primary school curriculums and gave me the necessary experience needed into teaching, without leaving the house. I aimed to follow these schedules down to the break and lunch times to give the children a sense of normality and a readiness to learn during this unpredictable time.

Tutoring Approach:
Teaching is a rewarding job where children learn through fun and grow to become more inspired and confident learners. Its challenges include time management, differentiating learning styles and lack of funding to name a few. I found time management to be the most important of all, not only for the children but also to aid the teacher themselves, both in and out of the classroom. This leaves time and energy to brainstorm teaching styles specifically for the children being taught, to create a classroom where children with varying learning styles can be educated differently yet equally.

There are a set number of qualities that all teachers must possess to work with children learned during my work experiences in a nursery and primary schools and after school homework programme at the local community centre. This includes patience with the children, kindness and empathy, and of course; an eagerness to learn themselves. These are all qualities I have acquired from constant self-reflection and obtaining criticism from peers and established personnel in the education field. The most important being communication. Knowing how to empathises with others and get your point across in a solution-based way, only strengthens parent- teacher relationships.

Subjects

Personal Description:
I'm a UK-qualified teacher (QTS) and CELTA-certified tutor with a Postgraduate in Education(PGCE), a Bachelor's in Electronic and Electrical Engineering(BEng), and a postgraduate in Computing. I enjoyed working with children, so I quit my job as an engineer, to be a teacher. I offer premium tutoring services that go beyond academics to support the full development of each child. With experience teaching in London secondary schools and founding a school in Sri Lanka for underserved communities, I bring a rare blend of educational rigour, global awareness, and deep compassion to my work.

Teaching Experience:
I am a fully qualified Maths teacher (QTS) with extensive experience teaching at London's leading Outstanding-rated secondary schools. I have taught across a wide range of year groups, from Year 7 to Year 13, and have a proven track record of helping students succeed in both GCSE and A-Level Maths.

In addition to my classroom teaching, I have worked as a private tutor and governess for students of all ages and abilities, including private households and those needing tailored support. I also mentor A-Level students, guiding them in identifying their passions, setting clear goals, and preparing for university admissions and future career paths. My teaching experience extends beyond the UK. I co-launched and led a school in Sri Lanka that focused on providing quality education to underprivileged children.

. My lessons are structured, engaging, and highly personalised to meet each student's unique needs, fostering not only academic excellence but also confidence, independence, and long-term success.

Tutoring Approach:
I believe in building positive, supportive relationships with my students to identify their needs and tailor each session accordingly. I ensure that every minute counts by thoroughly planning lessons to help students make the most of our time together.

As an approachable and easy-going tutor, I engage students with a variety of activities and quality resources to boost attainment. My approach also includes public speaking, mindfulness, and mindset coaching, fostering both academic success and personal growth. My goal is to create a supportive environment where students thrive academically and develop confidence, resilience, and a love for learning.

Subjects

Personal Description:
Hello, I'm Ellie. I'm an online tutor and educator specialising in primary education. As a qualified teacher with a 1st class degree and a Masters in Expert Teaching, I have supported many learners across KS1 and KS2. I am an avid reader of children's books as well as a new author of a fun children's picture book.

As a dedicated educator, compassionate tutor and home educating mother, I am deeply immersed in the vibrant tapestry of the education world. My passion lies in empowering every child, regardless of their unique needs or circumstances, to help unlock their full potential. With a wealth of experience in working with children with a wide variety of needs, I strive to create a supportive and inclusive environment where every learner thrives.

Through online tuition, I provide a personalised approach that allows pupils to flourish in the comfort of their own home, while enabling me to extend my reach and impact to many more children worldwide.

In addition to offering comprehensive support for KS1 and KS2 learners, I extend my expertise to assist students up to GCSE / iGCSE in mathematics, providing tailored guidance to navigate the complexities of the subject. Furthermore, I am committed to nurturing the next generation of educators by offering assistance and mentorship to trainee teachers, ensuring they develop the skills and confidence necessary to excel in their profession. Additionally, I offer a specialised service in reviewing essays crafted by both undergraduate and postgraduate students, providing invaluable feedback to enhance their academic writing prowess and elevate their scholarly pursuits.

Teaching Experience:
I have taught in primary schools for 6 years now and have been tutoring for almost 2 years.

Tutoring Approach:
I like to tutor in a relaxed but professional manner to promote positive engagement from my pupils.

Subjects

Personal Description:
I am an engineering graduate from the class of 2019 and completed my master's in Material Engineering in 2021. During my postgraduate studies, I had the enriching opportunity to participate in a one-year exchange program in Turkey, where I conducted significant research.

Teaching Experience:
With a solid five years of teaching experience, I have dedicated three of those years to home tutoring students from 5th to 12th standard. I have taught a diverse range of subjects, including Maths, Physics, Chemistry, Science, Computer Science, and IT. My teaching journey has allowed me to work with a wide range of students, each with unique learning needs and goals. This hands-on experience has honed my ability to tailor my teaching strategies to effectively support and inspire students across different age groups and academic levels.

Tutoring Approach:
My tutoring approach is centred around fostering a supportive and engaging learning environment. I believe in the importance of understanding each student's individual learning style and pace, and I am committed to developing personalized lesson plans that cater to these needs. My approach integrates interactive and practical methods, aiming to not only improve academic performance but also to instil a genuine interest in the subject matter.

Subjects

Personal Description:
My name is Jimmy. I am a college graduate from an accredited university in the US and hold a teaching certification in secondary mathematics education (grades 7-12). I have 9 years of tutoring experience in GCSE Maths, A-Level Maths, Further Maths, 11+, and competitions such as Maths Olympiad and Kangaroo Maths.

I am passionate about helping students build confidence, improve grades, and enjoy mathematics. Outside of tutoring, I am active, enjoy sports, and love solving and creating math problems.

Teaching Experience:
I have taught students from KS3 to A-Level, including exam preparation for GCSE and A-Level Maths, Further Maths, and competitive math exams.

My lessons are tailored to each student's level, strengths, and areas for improvement. Students I've taught have successfully raised their grades, built problem-solving skills, and developed lasting confidence in mathematics.

I teach both online and in-person, adapting sessions to suit each student's learning style and pa

Tutoring Approach:
I use a personalized teaching approach, combining direct instruction with differentiated strategies. Lessons focus on conceptual understanding, problem-solving, and exam techniques, often using past papers, practice questions, and real-world examples.

My goal is to help students think independently, understand concepts deeply, and achieve their full potential in mathematics.

Subjects

Personal Description:
With numerous years of experience in mathematics, I am passionate about helping students build confidence and achieve success in their mathematical journey. I specialize in primary mathematics education and cater my tutoring style to meet the individual needs of each student. My approach focuses on breaking down complex concepts into manageable steps, ensuring a solid understanding of foundational principles before advancing to more difficult material.

I believe that learning math can be both fun and rewarding when the right techniques and mindset are in place. I work with students of all levels, and take pride in creating an engaging and supportive environment where students feel comfortable asking questions and exploring new ideas.

Let me help you unlock your full potential in math!

Teaching Experience:
With a strong foundation in mathematics and extensive experience as a Chartered Quantity Surveyor, I bring a unique skill set that bridges analytical problem-solving and practical application to mathematics. My background in complex measurements, cost estimations, and project planning with precision and accuracy allows me to guide students through mathematical issues. As a Chartered Quantity Surveyor, I have a unique understanding of practical and theoretical mathematical proficiency and have experience in mentoring students through all stages of development, however I specialise in primary school mathematics.

Tutoring Approach:
My tutoring approach is centered around creating a personalized, supportive learning environment where students feel empowered to ask questions, make mistakes, and grow at their own pace. I believe in building a strong foundation in the basics before progressing to more complex topics, ensuring that students understand the "why" behind each concept, not just the "how." I tailor my lessons to each student's unique learning style, using a mix of hands-on exercises, real-world examples, and clear explanations to make difficult concepts more approachable. My goal is to foster confidence and a love for learning, helping students not only improve their grades but also develop critical thinking skills that will serve them well beyond the classroom.

Subjects