While what is said can be difficult to understand, what is not said may pose an even bigger challenge. Language is efficient, so often what goes without saying is simply not being said. It is left for the reader or listener to interpret underspecified language and resolve ambiguities, a task that we do seamlessly using our personal experience, knowledge about the world, and commonsense reasoning abilities. In many cases, commonsense knowledge helps EFL learners compensate for low language proficiency. However, what is considered “commonsense” is not always universal. Some commonsense knowledge, especially pertaining to social norms, differs between cultures. Can language technologies help bridge this cultural gap? It depends. Chatbots like ChatGPT seem to have broad knowledge about every possible topic in the world. However, ChatGPT learned about the world from reading all the English text on the web, which is primarily coming from the US, and thus it has a North American lens. In addition, despite being “book smart,” it still lacks basic commonsense reasoning abilities that are employed by us to understand social interactions and navigate the world around us.

When I started working in natural language processing in 2013, I had to explain what work in this area of computer science entails. I told people I was teaching computers to speak English. A decade later, ChatGPT has become a household name, language models are on the news every day, and the field is considered one of the most sought-after. We are experiencing an exciting era in which language technologies are maturing and are increasingly used and deployed.

In order to be effective mathematics educators, teachers need more than content knowledge: they need to be able to make mathematics comprehensible and accessible to their students. Teaching Key Concepts in the Australian Mathematics Curriculum Years 7 to 10 ensures that pre-service and practising teachers in Australia have the tools and resources required to teach lower secondary mathematics.

By simplifying the underlying concepts of mathematics, this book equips teachers to design and deliver mathematics lessons at the lower secondary level. The text provides a variety of practical activities and teaching ideas that translate the latest version of the Australian Curriculum into classroom practice. It covers the challenges of middle year mathematics, including the current decline in student numeracy, as well as complex theories which teachers can struggle to explain clearly. Topics include number, algebra, measurement, space, statistics and probability. Whether educators have recently studied more complicated mathematics or are teaching out of field, they are supported to recall ideas and concepts that they may have forgotten – or that may not have been made explicit in their own education.

Authored by experienced classroom educators and academics, this book is a vital resource for pre-service and practising Years 7 to 10 mathematics teachers, regardless of their backgrounds and experiences.

In order to be effective mathematics educators, teachers need more than content knowledge: they need to be able to make mathematics comprehensible and accessible to their students. Teaching Key Concepts in the Australian Mathematics Curriculum Years 7 to 10 ensures that pre-service and practising teachers in Australia have the tools and resources required to teach lower secondary mathematics.

By simplifying the underlying concepts of mathematics, this book equips teachers to design and deliver mathematics lessons at the lower secondary level. The text provides a variety of practical activities and teaching ideas that translate the latest version of the Australian Curriculum into classroom practice. It covers the challenges of middle year mathematics, including the current decline in student numeracy, as well as complex theories which teachers can struggle to explain clearly. Topics include number, algebra, measurement, space, statistics and probability. Whether educators have recently studied more complicated mathematics or are teaching out of field, they are supported to recall ideas and concepts that they may have forgotten – or that may not have been made explicit in their own education.

Authored by experienced classroom educators and academics, this book is a vital resource for pre-service and practising Years 7 to 10 mathematics teachers, regardless of their backgrounds and experiences.

In order to be effective mathematics educators, teachers need more than content knowledge: they need to be able to make mathematics comprehensible and accessible to their students. Teaching Key Concepts in the Australian Mathematics Curriculum Years 7 to 10 ensures that pre-service and practising teachers in Australia have the tools and resources required to teach lower secondary mathematics.

By simplifying the underlying concepts of mathematics, this book equips teachers to design and deliver mathematics lessons at the lower secondary level. The text provides a variety of practical activities and teaching ideas that translate the latest version of the Australian Curriculum into classroom practice. It covers the challenges of middle year mathematics, including the current decline in student numeracy, as well as complex theories which teachers can struggle to explain clearly. Topics include number, algebra, measurement, space, statistics and probability. Whether educators have recently studied more complicated mathematics or are teaching out of field, they are supported to recall ideas and concepts that they may have forgotten – or that may not have been made explicit in their own education.

Authored by experienced classroom educators and academics, this book is a vital resource for pre-service and practising Years 7 to 10 mathematics teachers, regardless of their backgrounds and experiences.

Automatic translation tools like Google Translate have improved immensely in recent years. Older translation technology selected the sentence that sounded more natural in the target language among multiple prospective word-by-word translations. Conversely, the current tools learn a sentence-level translation function from human translations. Although they are very useful, automatic translation tools don’t work equally well for every pair of languages and every genre and topic. For this reason, automatic translation didn’t yet make second language acquisition obsolete. Mastering English means being able to think in English rather than translating your thoughts from your native language. The language of our thoughts affects our word choice and grammatical constructions, so going through another language might result in incorrect or unnatural sentences. Choosing the right English words involves obstacles such as mispronunciation, malapropism, and inappropriate contexts.

In order to be effective mathematics educators, teachers need more than content knowledge: they need to be able to make mathematics comprehensible and accessible to their students. Teaching Key Concepts in the Australian Mathematics Curriculum Years 7 to 10 ensures that pre-service and practising teachers in Australia have the tools and resources required to teach lower secondary mathematics.

By simplifying the underlying concepts of mathematics, this book equips teachers to design and deliver mathematics lessons at the lower secondary level. The text provides a variety of practical activities and teaching ideas that translate the latest version of the Australian Curriculum into classroom practice. It covers the challenges of middle year mathematics, including the current decline in student numeracy, as well as complex theories which teachers can struggle to explain clearly. Topics include number, algebra, measurement, space, statistics and probability. Whether educators have recently studied more complicated mathematics or are teaching out of field, they are supported to recall ideas and concepts that they may have forgotten – or that may not have been made explicit in their own education.

Authored by experienced classroom educators and academics, this book is a vital resource for pre-service and practising Years 7 to 10 mathematics teachers, regardless of their backgrounds and experiences.

In order to be effective mathematics educators, teachers need more than content knowledge: they need to be able to make mathematics comprehensible and accessible to their students. Teaching Key Concepts in the Australian Mathematics Curriculum Years 7 to 10 ensures that pre-service and practising teachers in Australia have the tools and resources required to teach lower secondary mathematics.

By simplifying the underlying concepts of mathematics, this book equips teachers to design and deliver mathematics lessons at the lower secondary level. The text provides a variety of practical activities and teaching ideas that translate the latest version of the Australian Curriculum into classroom practice. It covers the challenges of middle year mathematics, including the current decline in student numeracy, as well as complex theories which teachers can struggle to explain clearly. Topics include number, algebra, measurement, space, statistics and probability. Whether educators have recently studied more complicated mathematics or are teaching out of field, they are supported to recall ideas and concepts that they may have forgotten – or that may not have been made explicit in their own education.

Authored by experienced classroom educators and academics, this book is a vital resource for pre-service and practising Years 7 to 10 mathematics teachers, regardless of their backgrounds and experiences.

In contrast to the rest of the book, this chapter discusses not what to say in and how to speak English but rather what is not socially acceptable to speak about in North American culture: from offensive language and profanity to sensitive topics such as sex and politics. These taboo subjects differ by culture, and EFL speakers who come from cultures that are more direct might find themselves saying something inappropriate – just as chatbots can sometimes generate offensive content. The developers of chatbots like ChatGPT have programmed filters to prevent them from generating offensive text. Those filters are based on the norms of the developers themselves, most of whom are based in North America, and this can make a chatbot’s refusal to answer some questions seem excessively careful through the lens of other cultures.

In order to be effective mathematics educators, teachers need more than content knowledge: they need to be able to make mathematics comprehensible and accessible to their students. Teaching Key Concepts in the Australian Mathematics Curriculum Years 7 to 10 ensures that pre-service and practising teachers in Australia have the tools and resources required to teach lower secondary mathematics.

By simplifying the underlying concepts of mathematics, this book equips teachers to design and deliver mathematics lessons at the lower secondary level. The text provides a variety of practical activities and teaching ideas that translate the latest version of the Australian Curriculum into classroom practice. It covers the challenges of middle year mathematics, including the current decline in student numeracy, as well as complex theories which teachers can struggle to explain clearly. Topics include number, algebra, measurement, space, statistics and probability. Whether educators have recently studied more complicated mathematics or are teaching out of field, they are supported to recall ideas and concepts that they may have forgotten – or that may not have been made explicit in their own education.

Authored by experienced classroom educators and academics, this book is a vital resource for pre-service and practising Years 7 to 10 mathematics teachers, regardless of their backgrounds and experiences.

Picture, for a moment, enlisting the help of automatic translation when you seek medical attention in a foreign country and need to explain, in no uncertain terms, where you experience pain and in what intensity. I have experienced this in my first year in the US after moving there from Israel. Now consider that I’m not only a user of language technologies but also a researcher working on these technologies. As such, I’m also aware of their limitations. For example, I know that translation systems may translate figurative expressions literally, or that certain inputs can make them generate incorrect “translations” in the form of a religious text.