I live in Brisbane Australia with my wife (Korean) and three children. They all are bilingual Korean/English.
I have tried to teach my daughter, Angela, who is 5 years old Spanish but she can’t find the need to speak Spanish and shows no interest.
Could you give me some suggestions to gain her interest in learning a third language? — Nigel
You may want to ask yourself why you want to teach your daughter Spanish. Does it matter to her, or does it matter to you?
Languages are tools that serve specific purposes, they are not collectible items, as it were. Your daughter speaks Korean and English because she found out that speaking these languages serves a purpose.
I understood from your question that you do not speak Korean. This must mean that you have found no reason to learn it, although Korean is one of your family’s languages. Your daughter may well wonder why Spanish, not Korean, should then matter to you, and why you would want it to matter to her too.
Children are essentially pragmatic. They learn what matters to them, and what they can find a use for.
If your daughter is not interested in, say, playing with dolls, you will find the same difficulty in persuading her that there is a need to do so. If and when she finds a use for Spanish, you may rest assured that she will learn it, in her own time and at her own pace, with or without your intervention.
Do feel free to contact me privately, if you wish to discuss these matters in greater detail.